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100050048 = 2732719653
BaseRepresentation
bin1011111011010…
…10010010000000
320222021001212100
411331222102000
5201103100143
613532230400
72323261050
oct575522200
9228231770
10100050048
115152609a
122960b400
1317960517
14d405560
158bb46d3
hex5f6a480

100050048 has 192 divisors, whose sum is σ = 346881600. Its totient is φ = 27039744.

The previous prime is 100050031. The next prime is 100050053. The reversal of 100050048 is 840050001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100050048.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152890 + ... + 153542.

It is an arithmetic number, because the mean of its divisors is an integer number (1806675).

Almost surely, 2100050048 is an apocalyptic number.

100050048 is a gapful number since it is divisible by the number (18) 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 100050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173440800).

100050048 is an abundant number, since it is smaller than the sum of its proper divisors (246831552).

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

100050048 is a wasteful number, since it uses less digits than its factorization.

100050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100050048 is about 10002.5020869780. The cubic root of 100050048 is about 464.2363045261.

The spelling of 100050048 in words is "one hundred million, fifty thousand, forty-eight".