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100476996 = 223291791613
BaseRepresentation
bin1011111110100…
…10100001000100
321000001202112020
411333102201010
5201210230441
613545323140
72330016564
oct577224104
9230052466
10100476996
1151797944
12297964b0
1317a7c959
14d4b6da4
158c4ae66
hex5fd2844

100476996 has 48 divisors (see below), whose sum is σ = 244036800. Its totient is φ = 32136832.

The previous prime is 100476989. The next prime is 100477009. The reversal of 100476996 is 699674001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61486 + ... + 63098.

It is an arithmetic number, because the mean of its divisors is an integer number (5084100).

Almost surely, 2100476996 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 100476996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122018400).

100476996 is an abundant number, since it is smaller than the sum of its proper divisors (143559804).

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

100476996 is a wasteful number, since it uses less digits than its factorization.

100476996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 100476996 is about 10023.8214269808. The cubic root of 100476996 is about 464.8957194763.

The spelling of 100476996 in words is "one hundred million, four hundred seventy-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 179 348 358 537 716 1074 1613 2148 3226 4839 5191 6452 9678 10382 15573 19356 20764 31146 46777 62292 93554 140331 187108 280662 288727 561324 577454 866181 1154908 1732362 3464724 8373083 16746166 25119249 33492332 50238498 100476996