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100438152 = 23325116673
BaseRepresentation
bin1011111110010…
…01000010001000
320222222210020120
411333021002020
5201203010102
613544423240
72326465413
oct577110210
9228883216
10100438152
1151770741
1229777b20
1317a68079
14d4a6b7a
158c3e6bc
hex5fc9088

100438152 has 32 divisors (see below), whose sum is σ = 252110880. Its totient is φ = 33344000.

The previous prime is 100438139. The next prime is 100438181. The reversal of 100438152 is 251834001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2313 + ... + 14360.

It is an arithmetic number, because the mean of its divisors is an integer number (7878465).

Almost surely, 2100438152 is an apocalyptic number.

100438152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100438152 is an abundant number, since it is smaller than the sum of its proper divisors (151672728).

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

100438152 is a wasteful number, since it uses less digits than its factorization.

100438152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16933 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100438152 is about 10021.8836552816. The cubic root of 100438152 is about 464.8358028199.

The spelling of 100438152 in words is "one hundred million, four hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 251 502 753 1004 1506 2008 3012 6024 16673 33346 50019 66692 100038 133384 200076 400152 4184923 8369846 12554769 16739692 25109538 33479384 50219076 100438152