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77431668 = 223171133359
BaseRepresentation
bin1001001110110…
…00001101110100
312101200221021120
410213120031310
5124310303133
611403343540
71630105206
oct447301564
9171627246
1077431668
113a787616
1221b21bb0
1313071372
14a3d8776
156be7ab3
hex49d8374

77431668 has 48 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 24070144.

The previous prime is 77431667. The next prime is 77431687. The reversal of 77431668 is 86613477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77431661) 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 15 ways as a sum of consecutive naturals, for example, 21373 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 277431668 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 77431668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

77431668 is an abundant number, since it is smaller than the sum of its proper divisors (115620492).

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

77431668 is a wasteful number, since it uses less digits than its factorization.

77431668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3494 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 77431668 is about 8799.5265781745. The cubic root of 77431668 is about 426.2256073164.

The spelling of 77431668 in words is "seventy-seven million, four hundred thirty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3359 3842 5763 6718 7684 10077 11526 13436 20154 23052 40308 57103 114206 171309 228412 342618 379567 685236 759134 1138701 1518268 2277402 4554804 6452639 12905278 19357917 25810556 38715834 77431668