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89038962 = 232174147151
BaseRepresentation
bin1010100111010…
…10000001110010
320012112122111100
411103222001302
5140243221322
612500225230
72130550545
oct523520162
9205478440
1089038962
1146295321
122599b216
13155a669c
14bb7a85c
157c3bdac
hex54ea072

89038962 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 26496000.

The previous prime is 89038949. The next prime is 89038967. The reversal of 89038962 is 26983098.

It is not an unprimeable number, because it can be changed into a prime (89038967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589587 + ... + 589737.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 289038962 is an apocalyptic number.

89038962 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 89038962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

89038962 is an abundant number, since it is smaller than the sum of its proper divisors (126076302).

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

89038962 is a wasteful number, since it uses less digits than its factorization.

89038962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 89038962 is about 9436.0458879766. The cubic root of 89038962 is about 446.5396518881.

It can be divided in two parts, 89038 and 962, that added together give a square (90000 = 3002).

The spelling of 89038962 in words is "eighty-nine million, thirty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 41 47 51 82 94 102 123 141 151 153 246 282 302 306 369 423 453 697 738 799 846 906 1359 1394 1598 1927 2091 2397 2567 2718 3854 4182 4794 5134 5781 6191 6273 7097 7191 7701 11562 12382 12546 14194 14382 15402 17343 18573 21291 23103 32759 34686 37146 42582 46206 55719 63873 65518 98277 105247 111438 120649 127746 196554 210494 241298 290977 294831 315741 361947 581954 589662 631482 723894 872931 947223 1085841 1745862 1894446 2171682 2618793 4946609 5237586 9893218 14839827 29679654 44519481 89038962