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86469888 = 2831737179
BaseRepresentation
bin1010010011101…
…10110100000000
320000201010101110
411021312310000
5134114014023
612325203320
72066660541
oct511666400
9200633343
1086469888
11448a011a
1224b60540
1314bb721b
14b6ac4c8
1578d0a93
hex5276d00

86469888 has 144 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 26247168.

The previous prime is 86469883. The next prime is 86469899. The reversal of 86469888 is 88896468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86469883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482983 + ... + 483161.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 286469888 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 86469888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

86469888 is an abundant number, since it is smaller than the sum of its proper divisors (165187392).

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

86469888 is a wasteful number, since it uses less digits than its factorization.

86469888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 57.

The square root of 86469888 is about 9298.9186468105. The cubic root of 86469888 is about 442.2029465976.

The spelling of 86469888 in words is "eighty-six million, four hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 179 192 204 222 256 272 296 358 384 408 444 537 544 592 629 716 768 816 888 1074 1088 1184 1258 1432 1632 1776 1887 2148 2176 2368 2516 2864 3043 3264 3552 3774 4296 4352 4736 5032 5728 6086 6528 6623 7104 7548 8592 9129 9472 10064 11456 12172 13056 13246 14208 15096 17184 18258 19869 20128 22912 24344 26492 28416 30192 34368 36516 39738 40256 45824 48688 52984 60384 68736 73032 79476 80512 97376 105968 112591 120768 137472 146064 158952 161024 194752 211936 225182 241536 292128 317904 337773 389504 423872 450364 483072 584256 635808 675546 779008 847744 900728 1168512 1271616 1351092 1695488 1801456 2337024 2543232 2702184 3602912 5086464 5404368 7205824 10808736 14411648 21617472 28823296 43234944 86469888