Search a number
-
+
88882794 = 232711134933
BaseRepresentation
bin1010100110000…
…11111001101010
320012020201021100
411103003321222
5140223222134
612453022230
72126330340
oct523037152
9205221240
1088882794
1146198a60
1225924976
1315550590
14bb39990
157c0a999
hex54c3e6a

88882794 has 96 divisors (see below), whose sum is σ = 258620544. Its totient is φ = 21306240.

The previous prime is 88882789. The next prime is 88882799. The reversal of 88882794 is 49728888.

It is an interprime number because it is at equal distance from previous prime (88882789) and next prime (88882799).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88882794.

It is not an unprimeable number, because it can be changed into a prime (88882799) 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, 15552 + ... + 20484.

It is an arithmetic number, because the mean of its divisors is an integer number (2693964).

Almost surely, 288882794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88882794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129310272).

88882794 is an abundant number, since it is smaller than the sum of its proper divisors (169737750).

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

88882794 is a wasteful number, since it uses less digits than its factorization.

88882794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4969 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 88882794 is about 9427.7671799849. The cubic root of 88882794 is about 446.2784328563.

It can be divided in two parts, 88882 and 794, that added together give a triangular number (89676 = T423).

The spelling of 88882794 in words is "eighty-eight million, eight hundred eighty-two thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 4933 6006 9009 9866 14799 18018 29598 34531 44397 54263 64129 69062 88794 103593 108526 128258 162789 192387 207186 310779 325578 379841 384774 448903 488367 577161 621558 705419 759682 897806 976734 1139523 1154322 1346709 1410838 2116257 2279046 2693418 3418569 4040127 4232514 4937933 6348771 6837138 8080254 9875866 12697542 14813799 29627598 44441397 88882794