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557107152 = 24374313847
BaseRepresentation
bin100001001101001…
…100011111010000
31102211021222100020
4201031030133100
52120104412102
6131140423440
716543222050
oct4115143720
91384258306
10557107152
11266521938
121366a7b80
138b55b404
1453dbd560
1533d98bbc
hex2134c7d0

557107152 has 80 divisors (see below), whose sum is σ = 1649037312. Its totient is φ = 158762880.

The previous prime is 557107129. The next prime is 557107171. The reversal of 557107152 is 251701755.

It is a super-2 number, since 2×5571071522 = 620736757619102208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142893 + ... + 146739.

Almost surely, 2557107152 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 557107152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824518656).

557107152 is an abundant number, since it is smaller than the sum of its proper divisors (1091930160).

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

557107152 is a wasteful number, since it uses less digits than its factorization.

557107152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 33.

The square root of 557107152 is about 23603.1174212221. The cubic root of 557107152 is about 822.8352932497.

The spelling of 557107152 in words is "five hundred fifty-seven million, one hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 431 862 1293 1724 2586 3017 3448 3847 5172 6034 6896 7694 9051 10344 11541 12068 15388 18102 20688 23082 24136 26929 30776 36204 46164 48272 53858 61552 72408 80787 92328 107716 144816 161574 184656 215432 323148 430864 646296 1292592 1658057 3316114 4974171 6632228 9948342 11606399 13264456 19896684 23212798 26528912 34819197 39793368 46425596 69638394 79586736 92851192 139276788 185702384 278553576 557107152