Search a number
-
+
88493796 = 2235181503
BaseRepresentation
bin1010100011001…
…00111011100100
320011111221200000
411101210323210
5140123300141
612440421300
72123120256
oct521447344
9204457600
1088493796
1145a52776
1225777830
13154454c1
14ba77cd6
157b805b6
hex5464ee4

88493796 has 72 divisors (see below), whose sum is σ = 233722944. Its totient is φ = 29276640.

The previous prime is 88493791. The next prime is 88493831. The reversal of 88493796 is 69739488.

88493796 is a `hidden beast` number, since 88 + 493 + 79 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88493791) 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 23 ways as a sum of consecutive naturals, for example, 175681 + ... + 176183.

It is an arithmetic number, because the mean of its divisors is an integer number (3246152).

Almost surely, 288493796 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 88493796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116861472).

88493796 is an abundant number, since it is smaller than the sum of its proper divisors (145229148).

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

88493796 is a wasteful number, since it uses less digits than its factorization.

88493796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 88493796 is about 9407.1141164546. The cubic root of 88493796 is about 445.6264308032.

The spelling of 88493796 in words is "eighty-eight million, four hundred ninety-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 503 543 724 972 1006 1086 1509 1629 2012 2172 3018 3258 4527 4887 6036 6516 9054 9774 13581 14661 18108 19548 27162 29322 40743 43983 54324 58644 81486 87966 91043 122229 162972 175932 182086 244458 273129 364172 488916 546258 819387 1092516 1638774 2458161 3277548 4916322 7374483 9832644 14748966 22123449 29497932 44246898 88493796