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99944496 = 24331731439
BaseRepresentation
bin1011111010100…
…00100000110000
320222001201002000
411331100200300
5201041210441
613530054000
72322341241
oct575204060
9228051060
1099944496
1151463863
122957a300
1317924472
14d3b8cc8
158b932b6
hex5f50830

99944496 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 30274560.

The previous prime is 99944491. The next prime is 99944501. The reversal of 99944496 is 69444999.

It is an interprime number because it is at equal distance from previous prime (99944491) and next prime (99944501).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99944491) 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 31 ways as a sum of consecutive naturals, for example, 227445 + ... + 227883.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 299944496 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 99944496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

99944496 is an abundant number, since it is smaller than the sum of its proper divisors (214321104).

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

99944496 is a wasteful number, since it uses less digits than its factorization.

99944496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 99944496 is about 9997.2244148063. The cubic root of 99944496 is about 464.0729918860.

The spelling of 99944496 in words is "ninety-nine million, nine hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 248 272 279 306 372 408 432 439 459 496 527 558 612 744 816 837 878 918 1054 1116 1224 1317 1488 1581 1674 1756 1836 2108 2232 2448 2634 3162 3348 3512 3672 3951 4216 4464 4743 5268 6324 6696 7024 7344 7463 7902 8432 9486 10536 11853 12648 13392 13609 14229 14926 15804 18972 21072 22389 23706 25296 27218 28458 29852 31608 37944 40827 44778 47412 54436 56916 59704 63216 67167 75888 81654 89556 94824 108872 113832 119408 122481 134334 163308 179112 189648 201501 217744 227664 231353 244962 268668 326616 358224 367443 403002 462706 489924 537336 653232 694059 734886 806004 925412 979848 1074672 1388118 1469772 1612008 1850824 1959696 2082177 2776236 2939544 3224016 3701648 4164354 5552472 5879088 6246531 8328708 11104944 12493062 16657416 24986124 33314832 49972248 99944496