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78211016 = 231317311427
BaseRepresentation
bin1001010100101…
…10011111001000
312110011112100022
410222112133020
5130010223031
611432200012
71636532312
oct452263710
9173145308
1078211016
114016a104
1222239008
1313285010
14a55c7b2
156ced97b
hex4a967c8

78211016 has 64 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 32855040.

The previous prime is 78210953. The next prime is 78211019. The reversal of 78211016 is 61011287.

It is a super-2 number, since 2×782110162 = 12233926047504512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (78211019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54095 + ... + 55521.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 278211016 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 78211016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

78211016 is an abundant number, since it is smaller than the sum of its proper divisors (94519864).

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

78211016 is a wasteful number, since it uses less digits than its factorization.

78211016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 78211016 is about 8843.6992260027. The cubic root of 78211016 is about 427.6508201022.

The spelling of 78211016 in words is "seventy-eight million, two hundred eleven thousand, sixteen".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 1054 1427 1612 1768 2108 2854 3224 4216 5708 6851 11416 13702 18551 24259 27404 37102 44237 48518 54808 74204 88474 97036 148408 176948 194072 315367 353896 575081 630734 752029 1150162 1261468 1504058 2300324 2522936 3008116 4600648 6016232 9776377 19552754 39105508 78211016