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99943144 = 23721371861
BaseRepresentation
bin1011111010100…
…00001011101000
320222001122012221
411331100023220
5201041140034
613530043424
72322334300
oct575201350
9228048187
1099943144
1151462844
1229579574
1317923972
14d3b8600
158b92bb4
hex5f502e8

99943144 has 48 divisors (see below), whose sum is σ = 219697380. Its totient is φ = 42497280.

The previous prime is 99943139. The next prime is 99943177. The reversal of 99943144 is 44134999.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89302500 + 10640644 = 9450^2 + 3262^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99943144.

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 11 ways as a sum of consecutive naturals, for example, 52774 + ... + 54634.

Almost surely, 299943144 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 99943144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109848690).

99943144 is an abundant number, since it is smaller than the sum of its proper divisors (119754236).

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

99943144 is a wasteful number, since it uses less digits than its factorization.

99943144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 99943144 is about 9997.1567958095. The cubic root of 99943144 is about 464.0708992929.

The spelling of 99943144 in words is "ninety-nine million, nine hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 959 1096 1861 1918 3722 3836 6713 7444 7672 13027 13426 14888 26054 26852 52108 53704 91189 104216 182378 254957 364756 509914 729512 1019828 1784699 2039656 3569398 7138796 12492893 14277592 24985786 49971572 99943144