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76675152 = 243312272
BaseRepresentation
bin1001001000111…
…11100001010000
312100021111112110
410210133201100
5124112101102
611335225320
71620504501
oct444374120
9170244473
1076675152
113a3101a4
1221818240
1312b67c18
14a27cba8
156ae886c
hex491f850

76675152 has 60 divisors (see below), whose sum is σ = 205371776. Its totient is φ = 24624960.

The previous prime is 76675141. The next prime is 76675163. The reversal of 76675152 is 25157667.

It is an interprime number because it is at equal distance from previous prime (76675141) and next prime (76675163).

It is a super-3 number, since 3×766751523 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76675152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337663 + ... + 337889.

Almost surely, 276675152 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 76675152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102685888).

76675152 is an abundant number, since it is smaller than the sum of its proper divisors (128696624).

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

76675152 is a wasteful number, since it uses less digits than its factorization.

76675152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 263 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 76675152 is about 8756.4348909816. The cubic root of 76675152 is about 424.8329715046.

The spelling of 76675152 in words is "seventy-six million, six hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 227 248 372 454 496 681 744 908 1362 1488 1816 2724 3632 5448 7037 10896 14074 21111 28148 42222 51529 56296 84444 103058 112592 154587 168888 206116 309174 337776 412232 618348 824464 1236696 1597399 2473392 3194798 4792197 6389596 9584394 12779192 19168788 25558384 38337576 76675152