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78462976 = 2144789
BaseRepresentation
bin1001010110101…
…00000000000000
312110122022222011
410223110000000
5130041303401
611441422304
71641632014
oct453240000
9173568864
1078462976
1140321439
122233a994
13133428c7
14a5c6544
156d4d451
hex4ad4000

78462976 has 30 divisors (see below), whose sum is σ = 156953930. Its totient is φ = 39223296.

The previous prime is 78462947. The next prime is 78463001. The reversal of 78462976 is 67926487.

It can be written as a sum of positive squares in only one way, i.e., 49561600 + 28901376 = 7040^2 + 5376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13990 + ... + 18778.

Almost surely, 278462976 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 78462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78476965).

78462976 is an abundant number, since it is smaller than the sum of its proper divisors (78490954).

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

78462976 is an frugal number, since it uses more digits than its factorization.

78462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4791 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 78462976 is about 8857.9329417195. The cubic root of 78462976 is about 428.1095593984.

The spelling of 78462976 in words is "seventy-eight million, four hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4789 8192 9578 16384 19156 38312 76624 153248 306496 612992 1225984 2451968 4903936 9807872 19615744 39231488 78462976