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100055472 = 243111771157
BaseRepresentation
bin1011111011010…
…11100110110000
320222021100022020
411331223212300
5201103233342
613532311440
72323312626
oct575534660
9228240266
10100055472
115152a180
1229612580
1317962b2a
14d407516
158bb60ec
hex5f6b9b0

100055472 has 160 divisors (see below), whose sum is σ = 304694784. Its totient is φ = 27955200.

The previous prime is 100055441. The next prime is 100055509. The reversal of 100055472 is 274550001.

It is a super-2 number, since 2×1000554722 = 20022194954285568, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637218 + ... + 637374.

Almost surely, 2100055472 is an apocalyptic number.

100055472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100055472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152347392).

100055472 is an abundant number, since it is smaller than the sum of its proper divisors (204639312).

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

100055472 is a wasteful number, since it uses less digits than its factorization.

100055472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 100055472 is about 10002.7732154638. The cubic root of 100055472 is about 464.2446935683.

The spelling of 100055472 in words is "one hundred million, fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 71 88 102 132 136 142 157 176 187 204 213 264 272 284 314 374 408 426 471 528 561 568 628 748 781 816 852 942 1122 1136 1207 1256 1496 1562 1704 1727 1884 2244 2343 2414 2512 2669 2992 3124 3408 3454 3621 3768 4488 4686 4828 5181 5338 6248 6908 7242 7536 8007 8976 9372 9656 10362 10676 11147 12496 13277 13816 14484 16014 18744 19312 20724 21352 22294 26554 27632 28968 29359 32028 33441 37488 39831 41448 42704 44588 53108 57936 58718 64056 66882 79662 82896 88077 89176 106216 117436 122617 128112 133764 159324 176154 178352 189499 212432 234872 245234 267528 318648 352308 367851 378998 469744 490468 535056 568497 637296 704616 735702 757996 980936 1136994 1409232 1471404 1515992 1961872 2084489 2273988 2942808 3031984 4168978 4547976 5885616 6253467 8337956 9095952 12506934 16675912 25013868 33351824 50027736 100055472