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86323072 = 2711371657
BaseRepresentation
bin1010010010100…
…10111110000000
320000102122222211
411021102332000
5134044314242
612322111504
72065506523
oct511227600
9200378884
1086323072
11447aa890
1224aab594
1314b65454
14b670bba
1578a2317
hex5252f80

86323072 has 64 divisors (see below), whose sum is σ = 192792240. Its totient is φ = 38154240.

The previous prime is 86323051. The next prime is 86323079. The reversal of 86323072 is 27032368.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86323079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51268 + ... + 52924.

Almost surely, 286323072 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 86323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96396120).

86323072 is an abundant number, since it is smaller than the sum of its proper divisors (106469168).

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

86323072 is a wasteful number, since it uses less digits than its factorization.

86323072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 86323072 is about 9291.0210418446. The cubic root of 86323072 is about 441.9525347773.

The spelling of 86323072 in words is "eighty-six million, three hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 1657 2368 3256 3314 4736 6512 6628 13024 13256 18227 26048 26512 36454 52096 53024 61309 72908 106048 122618 145816 212096 245236 291632 490472 583264 674399 980944 1166528 1348798 1961888 2333056 2697596 3923776 5395192 7847552 10790384 21580768 43161536 86323072