Search a number
-
+
88739424 = 25321916217
BaseRepresentation
bin1010100101000…
…00111001100000
320011222102121100
411102200321200
5140204130144
612445554400
72125162344
oct522407140
9204872540
1088739424
1146100274
1225875a00
1315500247
14badd624
157bcd269
hex54a0e60

88739424 has 72 divisors (see below), whose sum is σ = 265650840. Its totient is φ = 28021248.

The previous prime is 88739389. The next prime is 88739447. The reversal of 88739424 is 42493788.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 88739424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2637 + ... + 13580.

It is an arithmetic number, because the mean of its divisors is an integer number (3689595).

Almost surely, 288739424 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 88739424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132825420).

88739424 is an abundant number, since it is smaller than the sum of its proper divisors (176911416).

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

88739424 is a wasteful number, since it uses less digits than its factorization.

88739424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252 (or 16241 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 88739424 is about 9420.1605081867. The cubic root of 88739424 is about 446.0383512504.

The spelling of 88739424 in words is "eighty-eight million, seven hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 16217 32434 48651 64868 97302 129736 145953 194604 259472 291906 308123 389208 518944 583812 616246 778416 924369 1167624 1232492 1556832 1848738 2335248 2464984 2773107 3697476 4670496 4929968 5546214 7394952 9859936 11092428 14789904 22184856 29579808 44369712 88739424