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99748544 = 267534201
BaseRepresentation
bin1011111001000…
…00101011000000
320221200202021112
411330200223000
5201013423134
613521542452
72320564040
oct574405300
9227622245
1099748544
115133a615
12294a4a28
131788620c
14d367720
158b551ce
hex5f20ac0

99748544 has 56 divisors (see below), whose sum is σ = 230538528. Its totient is φ = 41932800.

The previous prime is 99748541. The next prime is 99748589. The reversal of 99748544 is 44584799.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 99748492 and 99748501.

It is not an unprimeable number, because it can be changed into a prime (99748541) by changing a digit.

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, 21644 + ... + 25844.

Almost surely, 299748544 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 99748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115269264).

99748544 is an abundant number, since it is smaller than the sum of its proper divisors (130789984).

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

99748544 is a wasteful number, since it uses less digits than its factorization.

99748544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4263 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 99748544 is about 9987.4192862821. The cubic root of 99748544 is about 463.7695050197.

The spelling of 99748544 in words is "ninety-nine million, seven hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 4201 5936 8402 11872 16804 23744 29407 33608 58814 67216 117628 134432 222653 235256 268864 445306 470512 890612 941024 1558571 1781224 1882048 3117142 3562448 6234284 7124896 12468568 14249792 24937136 49874272 99748544