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100479488 = 294432
BaseRepresentation
bin1011111110100…
…11001000000000
321000001212221112
411333103020000
5201210320423
613545342452
72330030054
oct577231000
9230055845
10100479488
11517997aa
1229797a28
1317a80b25
14d4b7c64
158c4ba78
hex5fd3200

100479488 has 30 divisors (see below), whose sum is σ = 201216939. Its totient is φ = 50126336.

The previous prime is 100479481. The next prime is 100479493. The reversal of 100479488 is 884974001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50239744 + 50239744 = 7088^2 + 7088^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7088.

It is a super-2 number, since 2×1004794882 = 20192255017484288, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100479481) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 226595 + ... + 227037.

Almost surely, 2100479488 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 100479488

100479488 is an abundant number, since it is smaller than the sum of its proper divisors (100737451).

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

100479488 is an frugal number, since it uses more digits than its factorization.

100479488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 100479488 is about 10023.9457301005. The cubic root of 100479488 is about 464.8995628455.

The spelling of 100479488 in words is "one hundred million, four hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 443 512 886 1772 3544 7088 14176 28352 56704 113408 196249 226816 392498 784996 1569992 3139984 6279968 12559936 25119872 50239744 100479488