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86926048 = 2511435743
BaseRepresentation
bin1010010111001…
…10001011100000
320001120022010021
411023212023200
5134223113143
612343043224
72103600466
oct513461340
9201508107
1086926048
1145081910
1225140514
1315016a41
14b78a836
157970ced
hex52e62e0

86926048 has 48 divisors (see below), whose sum is σ = 191068416. Its totient is φ = 38586240.

The previous prime is 86925961. The next prime is 86926087. The reversal of 86926048 is 84062968.

It is a happy number.

It is a super-2 number, since 2×869260482 = 15112275641796608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 86925995 and 86926013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12265 + ... + 18007.

It is an arithmetic number, because the mean of its divisors is an integer number (3980592).

Almost surely, 286926048 is an apocalyptic number.

86926048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95534208).

86926048 is an abundant number, since it is smaller than the sum of its proper divisors (104142368).

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

86926048 is a wasteful number, since it uses less digits than its factorization.

86926048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 86926048 is about 9323.4139669973. The cubic root of 86926048 is about 442.9791768344.

The spelling of 86926048 in words is "eighty-six million, nine hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 5743 7568 11486 15136 22972 45944 63173 91888 126346 183776 246949 252692 493898 505384 987796 1010768 1975592 2021536 2716439 3951184 5432878 7902368 10865756 21731512 43463024 86926048