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78336076 = 227132941181
BaseRepresentation
bin1001010101101…
…01000001001100
312110101212220011
410222311001030
5130023223301
611435003004
71640563030
oct452650114
9173355804
1078336076
1140245065
1222299464
13132c9c10
14a5921c0
156d25a51
hex4ab504c

78336076 has 96 divisors (see below), whose sum is σ = 179786880. Its totient is φ = 29030400.

The previous prime is 78336053. The next prime is 78336079. The reversal of 78336076 is 67063387.

It is a super-2 number, since 2×783360762 = 12273081606155552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78336079) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 432706 + ... + 432886.

It is an arithmetic number, because the mean of its divisors is an integer number (1872780).

Almost surely, 278336076 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 78336076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89893440).

78336076 is an abundant number, since it is smaller than the sum of its proper divisors (101450804).

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

78336076 is a wasteful number, since it uses less digits than its factorization.

78336076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 78336076 is about 8850.7669724154. The cubic root of 78336076 is about 427.8786376721.

The spelling of 78336076 in words is "seventy-eight million, three hundred thirty-six thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 29 41 52 58 82 91 116 164 181 182 203 287 362 364 377 406 533 574 724 754 812 1066 1148 1189 1267 1508 2132 2353 2378 2534 2639 3731 4706 4756 5068 5249 5278 7421 7462 8323 9412 10498 10556 14842 14924 15457 16471 16646 20996 29684 30914 32942 33292 36743 51947 61828 65884 68237 73486 96473 103894 108199 136474 146972 192946 207788 215209 216398 272948 385892 430418 432796 477659 675311 860836 955318 1350622 1506463 1910636 2701244 2797717 3012926 5595434 6025852 11190868 19584019 39168038 78336076