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78019664 = 2417373769
BaseRepresentation
bin1001010011001…
…11110001010000
312102210210212012
410221213301100
5124433112124
611424122052
71635104402
oct451476120
9172723765
1078019664
1140049368
1222166328
1313218ba8
14a50cb72
156cb1e0e
hex4a67c50

78019664 has 40 divisors (see below), whose sum is σ = 160692840. Its totient is φ = 36569088.

The previous prime is 78019661. The next prime is 78019687. The reversal of 78019664 is 46691087.

It can be written as a sum of positive squares in 4 ways, for example, as 18421264 + 59598400 = 4292^2 + 7720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78019661) 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, 101072 + ... + 101840.

It is an arithmetic number, because the mean of its divisors is an integer number (4017321).

Almost surely, 278019664 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 78019664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80346420).

78019664 is an abundant number, since it is smaller than the sum of its proper divisors (82673176).

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

78019664 is a wasteful number, since it uses less digits than its factorization.

78019664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 78019664 is about 8832.8740509531. The cubic root of 78019664 is about 427.3017700933.

The spelling of 78019664 in words is "seventy-eight million, nineteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 373 746 769 1492 1538 2984 3076 5968 6152 6341 12304 12682 13073 25364 26146 50728 52292 101456 104584 209168 286837 573674 1147348 2294696 4589392 4876229 9752458 19504916 39009832 78019664