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632161104 = 243531911301
BaseRepresentation
bin100101101011100…
…000001101010000
31122001112010000020
4211223200031100
52243313123404
6142421223440
721444165201
oct4553401520
91561463006
10632161104
112a4924aa3
12157861b80
13a0c79433
145dd595a8
153a771ed9
hex25ae0350

632161104 has 80 divisors (see below), whose sum is σ = 1673892864. Its totient is φ = 205504000.

The previous prime is 632161097. The next prime is 632161109. The reversal of 632161104 is 401161236.

It is a super-2 number, since 2×6321611042 = 799255322820997632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632161109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485254 + ... + 486554.

Almost surely, 2632161104 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 632161104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836946432).

632161104 is an abundant number, since it is smaller than the sum of its proper divisors (1041731760).

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

632161104 is a wasteful number, since it uses less digits than its factorization.

632161104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 632161104 is about 25142.8141623009. The cubic root of 632161104 is about 858.2409981507.

The spelling of 632161104 in words is "six hundred thirty-two million, one hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 191 212 318 382 424 573 636 764 848 1146 1272 1301 1528 2292 2544 2602 3056 3903 4584 5204 7806 9168 10123 10408 15612 20246 20816 30369 31224 40492 60738 62448 68953 80984 121476 137906 161968 206859 242952 248491 275812 413718 485904 496982 551624 745473 827436 993964 1103248 1490946 1654872 1987928 2981892 3309744 3975856 5963784 11927568 13170023 26340046 39510069 52680092 79020138 105360184 158040276 210720368 316080552 632161104