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100744048 = 2423318831
BaseRepresentation
bin1100000000100…
…11101101110000
321000120022212001
412000103231300
5201242302143
613555143344
72332211266
oct600235560
9230508761
10100744048
115195a549
12298a4b54
1317b44382
14d546436
158ca014d
hex6013b70

100744048 has 40 divisors (see below), whose sum is σ = 210272256. Its totient is φ = 46622400.

The previous prime is 100744019. The next prime is 100744073. The reversal of 100744048 is 840447001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6993 + ... + 15823.

Almost surely, 2100744048 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 100744048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105136128).

100744048 is an abundant number, since it is smaller than the sum of its proper divisors (109528208).

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

100744048 is a wasteful number, since it uses less digits than its factorization.

100744048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 100744048 is about 10037.1334553248. The cubic root of 100744048 is about 465.3072282700.

The spelling of 100744048 in words is "one hundred million, seven hundred forty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2852 5704 8831 11408 17662 35324 70648 141296 203113 273761 406226 547522 812452 1095044 1624904 2190088 3249808 4380176 6296503 12593006 25186012 50372024 100744048