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74921112 = 2334783199
BaseRepresentation
bin1000111011100…
…11010010011000
312012222101110000
410131303102120
5123134433422
611233453000
71566550620
oct435632230
9165871400
1074921112
1139322382
1221111160
13126a2726
149d43880
15689dcac
hex4773498

74921112 has 160 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 21041856.

The previous prime is 74921111. The next prime is 74921113. The reversal of 74921112 is 21112947.

It is an interprime number because it is at equal distance from previous prime (74921111) and next prime (74921113).

It is a super-2 number, since 2×749211122 = 11226346046633088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74921111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376389 + ... + 376587.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 274921112 is an apocalyptic number.

74921112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74921112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

74921112 is an abundant number, since it is smaller than the sum of its proper divisors (169014888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74921112 is a wasteful number, since it uses less digits than its factorization.

74921112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 74921112 is about 8655.6982387327. The cubic root of 74921112 is about 421.5684214100.

The spelling of 74921112 in words is "seventy-four million, nine hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 199 216 249 252 324 332 378 398 498 504 567 581 597 648 664 747 756 796 996 1134 1162 1194 1393 1494 1512 1592 1743 1791 1992 2241 2268 2324 2388 2786 2988 3486 3582 4179 4482 4536 4648 4776 5229 5373 5572 5976 6723 6972 7164 8358 8964 10458 10746 11144 12537 13446 13944 14328 15687 16119 16517 16716 17928 20916 21492 25074 26892 31374 32238 33034 33432 37611 41832 42984 47061 49551 50148 53784 62748 64476 66068 75222 94122 99102 100296 112833 115619 125496 128952 132136 148653 150444 188244 198204 225666 231238 297306 300888 346857 376488 396408 445959 451332 462476 594612 693714 891918 902664 924952 1040571 1189224 1337877 1387428 1783836 2081142 2675754 2774856 3121713 3567672 4162284 5351508 6243426 8324568 9365139 10703016 12486852 18730278 24973704 37460556 74921112