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77674044 = 22375373239
BaseRepresentation
bin1001010000100…
…11011000111100
312102011020202110
410220103120330
5124341032134
611412454020
71632134640
oct450233074
9172136673
1077674044
113a932728
122201a310
1313127796
14a45cc20
156c447e9
hex4a1363c

77674044 has 96 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 21385728.

The previous prime is 77674027. The next prime is 77674067. The reversal of 77674044 is 44047677.

It is a super-2 number, since 2×776740442 = 12066514222627872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77673993 and 77674011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324877 + ... + 325115.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 277674044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77674044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

77674044 is an abundant number, since it is smaller than the sum of its proper divisors (137150916).

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

77674044 is a wasteful number, since it uses less digits than its factorization.

77674044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 77674044 is about 8813.2879222229. The cubic root of 77674044 is about 426.6698667837.

It can be divided in two parts, 7767 and 4044, that added together give a palindrome (11811).

The spelling of 77674044 in words is "seventy-seven million, six hundred seventy-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 73 84 106 146 159 212 219 239 292 318 371 438 478 511 636 717 742 876 956 1022 1113 1434 1484 1533 1673 2044 2226 2868 3066 3346 3869 4452 5019 6132 6692 7738 10038 11607 12667 15476 17447 20076 23214 25334 27083 34894 38001 46428 50668 52341 54166 69788 76002 81249 88669 104682 108332 122129 152004 162498 177338 209364 244258 266007 324996 354676 366387 488516 532014 732774 924691 1064028 1465548 1849382 2774073 3698764 5548146 6472837 11096292 12945674 19418511 25891348 38837022 77674044