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106452256 = 253789909
BaseRepresentation
bin1100101100001…
…01010100100000
321102022100001011
412112011110200
5204222433011
614321350304
72431554301
oct626052440
9242270034
10106452256
11550a9179
122b798394
1319092601
14101d07a8
15952b621
hex6585520

106452256 has 24 divisors (see below), whose sum is σ = 215244540. Its totient is φ = 51787008.

The previous prime is 106452223. The next prime is 106452271. The reversal of 106452256 is 652254601.

It can be written as a sum of positive squares in 2 ways, for example, as 106419856 + 32400 = 10316^2 + 180^2 .

It is a super-2 number, since 2×1064522562 = 22664165614979072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43771 + ... + 46138.

Almost surely, 2106452256 is an apocalyptic number.

106452256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106452256 is an abundant number, since it is smaller than the sum of its proper divisors (108792284).

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

106452256 is an equidigital number, since it uses as much as digits as its factorization.

106452256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89956 (or 89948 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 106452256 is about 10317.5702566060. The cubic root of 106452256 is about 473.9344625039.

The spelling of 106452256 in words is "one hundred six million, four hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 89909 179818 359636 719272 1438544 2877088 3326633 6653266 13306532 26613064 53226128 106452256