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76052016 = 24321747661
BaseRepresentation
bin1001000100001…
…11011000110000
312022002211202100
410202013120300
5123432131031
611314020400
71612300665
oct442073060
9168084670
1076052016
1139a25007
1221577700
13129aa3c1
14a159a6c
156a23de6
hex4887630

76052016 has 120 divisors (see below), whose sum is σ = 230503104. Its totient is φ = 23316480.

The previous prime is 76051991. The next prime is 76052017. The reversal of 76052016 is 61025067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76052017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114726 + ... + 115386.

Almost surely, 276052016 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 76052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115251552).

76052016 is an abundant number, since it is smaller than the sum of its proper divisors (154451088).

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

76052016 is a wasteful number, since it uses less digits than its factorization.

76052016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 76052016 is about 8720.7806989971. The cubic root of 76052016 is about 423.6789726151.

The spelling of 76052016 in words is "seventy-six million, fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 47 48 51 68 72 94 102 136 141 144 153 188 204 272 282 306 376 408 423 564 612 661 752 799 816 846 1128 1224 1322 1598 1692 1983 2256 2397 2448 2644 3196 3384 3966 4794 5288 5949 6392 6768 7191 7932 9588 10576 11237 11898 12784 14382 15864 19176 22474 23796 28764 31067 31728 33711 38352 44948 47592 57528 62134 67422 89896 93201 95184 101133 115056 124268 134844 179792 186402 202266 248536 269688 279603 372804 404532 497072 528139 539376 559206 745608 809064 1056278 1118412 1491216 1584417 1618128 2112556 2236824 3168834 4225112 4473648 4753251 6337668 8450224 9506502 12675336 19013004 25350672 38026008 76052016