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78718052 = 22723313943
BaseRepresentation
bin1001011000100…
…10010001100100
312111010021212102
410230102101210
5130122434202
611451111232
71644043460
oct454222144
9174107772
1078718052
1140486046
1222442518
1313401a3a
14a6514a0
156d9dd02
hex4b12464

78718052 has 48 divisors (see below), whose sum is σ = 169623552. Its totient is φ = 31220640.

The previous prime is 78718051. The next prime is 78718067. The reversal of 78718052 is 25081787.

It is a super-3 number, since 3×787180523 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78717997 and 78718015.

It is not an unprimeable number, because it can be changed into a prime (78718051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17993 + ... + 21935.

It is an arithmetic number, because the mean of its divisors is an integer number (3533824).

Almost surely, 278718052 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 78718052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84811776).

78718052 is an abundant number, since it is smaller than the sum of its proper divisors (90905500).

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

78718052 is a wasteful number, since it uses less digits than its factorization.

78718052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 78718052 is about 8872.3194261704. The cubic root of 78718052 is about 428.5729726717.

The spelling of 78718052 in words is "seventy-eight million, seven hundred eighteen thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2852 3943 4991 7886 9982 15772 19964 27601 55202 90689 110404 122233 181378 244466 362756 488932 634823 855631 1269646 1711262 2539292 2811359 3422524 5622718 11245436 19679513 39359026 78718052