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86469504 = 2731121861
BaseRepresentation
bin1010010011101…
…10101110000000
320000201002212020
411021312232000
5134114011004
612325201440
72066656452
oct511665600
9200632766
1086469504
114489a900
1224b60280
1314bb6cb4
14b6ac2d2
1578d08d9
hex5276b80

86469504 has 96 divisors (see below), whose sum is σ = 252598920. Its totient is φ = 26188800.

The previous prime is 86469499. The next prime is 86469547. The reversal of 86469504 is 40596468.

It is a tau number, because it is divible by the number of its divisors (96).

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, 45534 + ... + 47394.

Almost surely, 286469504 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 86469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126299460).

86469504 is an abundant number, since it is smaller than the sum of its proper divisors (166129416).

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

86469504 is a wasteful number, since it uses less digits than its factorization.

86469504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 86469504 is about 9298.8979992255. The cubic root of 86469504 is about 442.2022920106.

The spelling of 86469504 in words is "eighty-six million, four hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1861 1936 2112 2904 3722 3872 4224 5583 5808 7444 7744 11166 11616 14888 15488 20471 22332 23232 29776 40942 44664 46464 59552 61413 81884 89328 119104 122826 163768 178656 225181 238208 245652 327536 357312 450362 491304 655072 675543 714624 900724 982608 1310144 1351086 1801448 1965216 2620288 2702172 3602896 3930432 5404344 7205792 7860864 10808688 14411584 21617376 28823168 43234752 86469504