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189147264 = 2731094519
BaseRepresentation
bin10110100011000…
…10100010000000
3111011220200021020
423101202202000
5341410203024
630434025440
74454503515
oct1321424200
9434820236
10189147264
1197850159
1253418280
1330257577
141b19930c
1511913979
hexb462880

189147264 has 64 divisors (see below), whose sum is σ = 507144000. Its totient is φ = 62456832.

The previous prime is 189147247. The next prime is 189147341. The reversal of 189147264 is 462741981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39597 + ... + 44115.

It is an arithmetic number, because the mean of its divisors is an integer number (7924125).

Almost surely, 2189147264 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 189147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253572000).

189147264 is an abundant number, since it is smaller than the sum of its proper divisors (317996736).

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

189147264 is a wasteful number, since it uses less digits than its factorization.

189147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4633 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 189147264 is about 13753.0819818686. The cubic root of 189147264 is about 574.0283668758.

The spelling of 189147264 in words is "one hundred eighty-nine million, one hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 4519 5232 6976 9038 10464 13557 13952 18076 20928 27114 36152 41856 54228 72304 108456 144608 216912 289216 433824 492571 578432 867648 985142 1477713 1735296 1970284 2955426 3940568 5910852 7881136 11821704 15762272 23643408 31524544 47286816 63049088 94573632 189147264