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100483488 = 2532749843
BaseRepresentation
bin1011111110101…
…00000110100000
321000002002102200
411333110012200
5201210432423
613545413200
72330044530
oct577240640
9230062380
10100483488
11517a1806
122979a200
1317a828b1
14d4b94c0
158c4cd43
hex5fd41a0

100483488 has 72 divisors (see below), whose sum is σ = 326577888. Its totient is φ = 28708992.

The previous prime is 100483483. The next prime is 100483489. The reversal of 100483488 is 884384001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1004834882 = 20193862721292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100483483) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22906 + ... + 26937.

It is an arithmetic number, because the mean of its divisors is an integer number (4535804).

Almost surely, 2100483488 is an apocalyptic number.

100483488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100483488 is an abundant number, since it is smaller than the sum of its proper divisors (226094400).

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

100483488 is a wasteful number, since it uses less digits than its factorization.

100483488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49866 (or 49855 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 100483488 is about 10024.1452503443. The cubic root of 100483488 is about 464.9057318444.

The spelling of 100483488 in words is "one hundred million, four hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 49843 99686 149529 199372 299058 348901 398744 448587 598116 697802 797488 897174 1046703 1196232 1395604 1594976 1794348 2093406 2392464 2791208 3140109 3588696 4186812 4784928 5582416 6280218 7177392 8373624 11164832 12560436 14354784 16747248 25120872 33494496 50241744 100483488