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78630464 = 2611611831
BaseRepresentation
bin1001010111111…
…00111001000000
312110221211201102
410223330321000
5130112133324
611445153532
71643230223
oct453747100
9173854642
1078630464
1140426260
12223bb8a8
13133a0c03
14a62b5ba
156d82dae
hex4afce40

78630464 has 56 divisors (see below), whose sum is σ = 173102016. Its totient is φ = 35136000.

The previous prime is 78630449. The next prime is 78630479. The reversal of 78630464 is 46403687.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78630449) and next prime (78630479).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42029 + ... + 43859.

Almost surely, 278630464 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 78630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86551008).

78630464 is an abundant number, since it is smaller than the sum of its proper divisors (94471552).

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

78630464 is a wasteful number, since it uses less digits than its factorization.

78630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 78630464 is about 8867.3820262804. The cubic root of 78630464 is about 428.4139588253.

The spelling of 78630464 in words is "seventy-eight million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1831 1952 2684 3662 3904 5368 7324 10736 14648 20141 21472 29296 40282 42944 58592 80564 111691 117184 161128 223382 322256 446764 644512 893528 1228601 1289024 1787056 2457202 3574112 4914404 7148224 9828808 19657616 39315232 78630464