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89239392 = 253211171657
BaseRepresentation
bin1010101000110…
…10111101100000
320012220211102200
411110122331200
5140321130032
612504413200
72132344104
oct524327540
9205824380
1089239392
1146411970
1225a77200
1315646998
14bbcd904
157c7b47c
hex551af60

89239392 has 144 divisors (see below), whose sum is σ = 293306832. Its totient is φ = 25436160.

The previous prime is 89239387. The next prime is 89239399. The reversal of 89239392 is 29393298.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89239399) 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, 53028 + ... + 54684.

It is an arithmetic number, because the mean of its divisors is an integer number (2036853).

Almost surely, 289239392 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 89239392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146653416).

89239392 is an abundant number, since it is smaller than the sum of its proper divisors (204067440).

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

89239392 is a wasteful number, since it uses less digits than its factorization.

89239392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1690 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 89239392 is about 9446.6603622656. The cubic root of 89239392 is about 446.8744598882.

The spelling of 89239392 in words is "eighty-nine million, two hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1657 1683 2244 2448 2992 3168 3314 3366 4488 4896 4971 5984 6628 6732 8976 9942 13256 13464 14913 17952 18227 19884 26512 26928 28169 29826 36454 39768 53024 53856 54681 56338 59652 72908 79536 84507 109362 112676 119304 145816 159072 164043 169014 218724 225352 238608 253521 291632 309859 328086 338028 437448 450704 477216 507042 583264 619718 656172 676056 874896 901408 929577 1014084 1239436 1312344 1352112 1749792 1859154 2028168 2478872 2624688 2704224 2788731 3718308 4056336 4957744 5249376 5577462 7436616 8112672 9915488 11154924 14873232 22309848 29746464 44619696 89239392