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76900572 = 22327401761
BaseRepresentation
bin1001001010101…
…10100011011100
312100200221202100
410211112203130
5124141304242
611344125100
71622433630
oct445264334
9170627670
1076900572
113a4545a1
1221906790
1312c166c8
14a2dadc0
156b4054c
hex49568dc

76900572 has 72 divisors (see below), whose sum is σ = 223003872. Its totient is φ = 21888000.

The previous prime is 76900559. The next prime is 76900573. The reversal of 76900572 is 27500967.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76900573) 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 23 ways as a sum of consecutive naturals, for example, 100672 + ... + 101432.

It is an arithmetic number, because the mean of its divisors is an integer number (3097276).

Almost surely, 276900572 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 76900572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111501936).

76900572 is an abundant number, since it is smaller than the sum of its proper divisors (146103300).

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

76900572 is a wasteful number, since it uses less digits than its factorization.

76900572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 76900572 is about 8769.2971212065. The cubic root of 76900572 is about 425.2488913537.

The spelling of 76900572 in words is "seventy-six million, nine hundred thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 401 761 802 1203 1522 1604 2283 2406 2807 3044 3609 4566 4812 5327 5614 6849 7218 8421 9132 10654 11228 13698 14436 15981 16842 21308 25263 27396 31962 33684 47943 50526 63924 95886 101052 191772 305161 610322 915483 1220644 1830966 2136127 2746449 3661932 4272254 5492898 6408381 8544508 10985796 12816762 19225143 25633524 38450286 76900572