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99954496 = 2659103257
BaseRepresentation
bin1011111010100…
…10111101000000
320222002012210101
411331102331000
5201042020441
613530212144
72322412345
oct575227500
9228065711
1099954496
1151470324
1229584054
1317928b95
14d3bc7cc
158b96231
hex5f52f40

99954496 has 56 divisors (see below), whose sum is σ = 204459840. Its totient is φ = 48463872.

The previous prime is 99954487. The next prime is 99954499. The reversal of 99954496 is 69445999.

It is a super-2 number, since 2×999544962 = 19981802541228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99954499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388800 + ... + 389056.

Almost surely, 299954496 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 99954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102229920).

99954496 is an abundant number, since it is smaller than the sum of its proper divisors (104505344).

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

99954496 is a wasteful number, since it uses less digits than its factorization.

99954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The square root of 99954496 is about 9997.7245411143. The cubic root of 99954496 is about 464.0884690603.

The spelling of 99954496 in words is "ninety-nine million, nine hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 64 103 118 206 236 257 412 472 514 824 944 1028 1648 1888 2056 3296 3776 4112 6077 6592 8224 12154 15163 16448 24308 26471 30326 48616 52942 60652 97232 105884 121304 194464 211768 242608 388928 423536 485216 847072 970432 1561789 1694144 3123578 6247156 12494312 24988624 49977248 99954496