Search a number
-
+
74021472 = 2533712239
BaseRepresentation
bin1000110100101…
…11101001100000
312011021200101000
410122113221200
5122422141342
611202312000
71556113020
oct432275140
9164250330
1074021472
1138868478
1220958600
13124490b5
149b8ba80
15677244c
hex4697a60

74021472 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 21147264.

The previous prime is 74021471. The next prime is 74021501. The reversal of 74021472 is 27412047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74021471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 274021472 is an apocalyptic number.

74021472 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 74021472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

74021472 is an abundant number, since it is smaller than the sum of its proper divisors (172736928).

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

74021472 is a wasteful number, since it uses less digits than its factorization.

74021472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12265 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 74021472 is about 8603.5732111722. The cubic root of 74021472 is about 419.8742480667.

The spelling of 74021472 in words is "seventy-four million, twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 12239 24478 36717 48956 73434 85673 97912 110151 146868 171346 195824 220302 257019 293736 330453 342692 391648 440604 514038 587472 660906 685384 771057 881208 1028076 1174944 1321812 1370768 1542114 1762416 2056152 2313171 2643624 2741536 3084228 3524832 4112304 4626342 5287248 6168456 8224608 9252684 10574496 12336912 18505368 24673824 37010736 74021472