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77468157 = 3513137179
BaseRepresentation
bin1001001111000…
…01000111111101
312101202210100000
410213201013331
5124312440112
611404224513
71630316454
oct447410775
9171683300
1077468157
113a801a78
1221b3b139
1313084b60
14a407b9b
156c037dc
hex49e11fd

77468157 has 48 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 47060352.

The previous prime is 77468129. The next prime is 77468179. The reversal of 77468157 is 75186477.

It is not a de Polignac number, because 77468157 - 219 = 76943869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77468197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432694 + ... + 432872.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 277468157 is an apocalyptic number.

It is an amenable number.

77468157 is a deficient number, since it is larger than the sum of its proper divisors (49116483).

77468157 is a wasteful number, since it uses less digits than its factorization.

77468157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 77468157 is about 8801.5996841483. The cubic root of 77468157 is about 426.2925485056.

The spelling of 77468157 in words is "seventy-seven million, four hundred sixty-eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 117 137 179 243 351 411 537 1053 1233 1611 1781 2327 3159 3699 4833 5343 6981 11097 14499 16029 20943 24523 33291 43497 48087 62829 73569 144261 188487 220707 318799 432783 565461 662121 956397 1986363 2869191 5959089 8607573 25822719 77468157