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78906848 = 2519233557
BaseRepresentation
bin1001011010000…
…00010111100000
312111110212211212
410231000113200
5130200004343
611455125252
71645461056
oct455002740
9174425755
1078906848
11405a4979
1222513828
1313469957
14a6a01d6
156dd9c18
hex4b405e0

78906848 has 48 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 37149696.

The previous prime is 78906847. The next prime is 78906853. The reversal of 78906848 is 84860987.

It is a super-2 number, since 2×789068482 = 12452581322590208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78906796 and 78906805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78906847) 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, 141386 + ... + 141942.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 278906848 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 78906848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

78906848 is an abundant number, since it is smaller than the sum of its proper divisors (85613872).

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

78906848 is a wasteful number, since it uses less digits than its factorization.

78906848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 78906848 is about 8882.9526622627. The cubic root of 78906848 is about 428.9153264278.

The spelling of 78906848 in words is "seventy-eight million, nine hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 233 304 466 557 608 932 1114 1864 2228 3728 4427 4456 7456 8854 8912 10583 17708 17824 21166 35416 42332 70832 84664 129781 141664 169328 259562 338656 519124 1038248 2076496 2465839 4152992 4931678 9863356 19726712 39453424 78906848