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76314942 = 23211237947
BaseRepresentation
bin1001000110001…
…11100100111110
312022121012102100
410203013210332
5124014034232
611323405530
71614444354
oct443074476
9168535370
1076314942
113a094600
12216838a6
1312a6cc92
14a1c77d4
156a76c7c
hex48c793e

76314942 has 72 divisors (see below), whose sum is σ = 186856488. Its totient is φ = 22476960.

The previous prime is 76314929. The next prime is 76314961. The reversal of 76314942 is 24941367.

It is a super-3 number, since 3×763149423 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76314897 and 76314906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80113 + ... + 81059.

It is an arithmetic number, because the mean of its divisors is an integer number (2595229).

Almost surely, 276314942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76314942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93428244).

76314942 is an abundant number, since it is smaller than the sum of its proper divisors (110541546).

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

76314942 is a wasteful number, since it uses less digits than its factorization.

76314942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76314942 is about 8735.8423749516. The cubic root of 76314942 is about 424.1666567770.

The spelling of 76314942 in words is "seventy-six million, three hundred fourteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 947 1089 1221 1894 2178 2442 2841 3663 4477 5682 7326 8523 8954 10417 13431 17046 20834 26862 31251 35039 40293 62502 70078 80586 93753 105117 114587 187506 210234 229174 315351 343761 385429 630702 687522 770858 1031283 1156287 2062566 2312574 3468861 4239719 6937722 8479438 12719157 25438314 38157471 76314942