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100155492 = 22322782097
BaseRepresentation
bin1011111100001…
…00000001100100
320222110102111200
411332010001210
5201114433432
613534402500
72324210343
oct576040144
9228412450
10100155492
1151598338
1229660430
1317999508
14d431b5a
158bd5a7c
hex5f84064

100155492 has 18 divisors (see below), whose sum is σ = 253170918. Its totient is φ = 33385152.

The previous prime is 100155487. The next prime is 100155493. The reversal of 100155492 is 294551001.

100155492 is a `hidden beast` number, since 100 + 1 + 554 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85821696 + 14333796 = 9264^2 + 3786^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1001554923 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100155493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1391013 + ... + 1391084.

It is an arithmetic number, because the mean of its divisors is an integer number (14065051).

Almost surely, 2100155492 is an apocalyptic number.

100155492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100155492 is an abundant number, since it is smaller than the sum of its proper divisors (153015426).

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

100155492 is a wasteful number, since it uses less digits than its factorization.

100155492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782107 (or 2782102 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 100155492 is about 10007.7715801271. The cubic root of 100155492 is about 464.3993354200.

The spelling of 100155492 in words is "one hundred million, one hundred fifty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 2782097 5564194 8346291 11128388 16692582 25038873 33385164 50077746 100155492