Search a number
-
+
99404256 = 2537532791
BaseRepresentation
bin1011110110011…
…00100111100000
320221001021000010
411323030213200
5200421414011
613510324520
72314631220
oct573144740
9227037003
1099404256
1151124986
1229359740
13177955b3
14d2b8080
158ad81a6
hex5ecc9e0

99404256 has 96 divisors (see below), whose sum is σ = 303948288. Its totient is φ = 27855360.

The previous prime is 99404233. The next prime is 99404267. The reversal of 99404256 is 65240499.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×994042562 = 19762412221827072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34221 + ... + 37011.

It is an arithmetic number, because the mean of its divisors is an integer number (3166128).

Almost surely, 299404256 is an apocalyptic number.

99404256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99404256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151974144).

99404256 is an abundant number, since it is smaller than the sum of its proper divisors (204544032).

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

99404256 is a wasteful number, since it uses less digits than its factorization.

99404256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 99404256 is about 9970.1683034942. The cubic root of 99404256 is about 463.2353139902.

It can be divided in two parts, 9940 and 4256, that added together give a triangular number (14196 = T168).

The spelling of 99404256 in words is "ninety-nine million, four hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2791 2968 4452 5088 5582 5936 8373 8904 11164 11872 16746 17808 19537 22328 33492 35616 39074 44656 58611 66984 78148 89312 117222 133968 147923 156296 234444 267936 295846 312592 443769 468888 591692 625184 887538 937776 1035461 1183384 1775076 1875552 2070922 2366768 3106383 3550152 4141844 4733536 6212766 7100304 8283688 12425532 14200608 16567376 24851064 33134752 49702128 99404256