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78135808 = 291747191
BaseRepresentation
bin1001010100001…
…00001000000000
312110000201011211
410222010020000
5130000321213
611430415504
71636100122
oct452041000
9173021154
1078135808
1140118653
1222201594
1313259a0a
14a53d212
156cd653d
hex4a84200

78135808 has 80 divisors (see below), whose sum is σ = 169703424. Its totient is φ = 35799040.

The previous prime is 78135803. The next prime is 78135821. The reversal of 78135808 is 80853187.

It is a super-2 number, since 2×781358082 = 12210408983625728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78135803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408993 + ... + 409183.

Almost surely, 278135808 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 78135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84851712).

78135808 is an abundant number, since it is smaller than the sum of its proper divisors (91567616).

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

78135808 is a wasteful number, since it uses less digits than its factorization.

78135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 78135808 is about 8839.4461364952. The cubic root of 78135808 is about 427.5136992749.

The spelling of 78135808 in words is "seventy-eight million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 191 256 272 376 382 512 544 752 764 799 1088 1504 1528 1598 2176 3008 3056 3196 3247 4352 6016 6112 6392 6494 8704 8977 12032 12224 12784 12988 17954 24064 24448 25568 25976 35908 48896 51136 51952 71816 97792 102272 103904 143632 152609 204544 207808 287264 305218 409088 415616 574528 610436 831232 1149056 1220872 1662464 2298112 2441744 4596224 4883488 9766976 19533952 39067904 78135808