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99474144 = 25371113457
BaseRepresentation
bin1011110110111…
…01101011100000
320221011210212120
411323131223200
5200431133034
613512024240
72315342040
oct573355340
9227153776
1099474144
1151172440
1229392080
13177bb353
14d2d5720
158aedc49
hex5eddae0

99474144 has 96 divisors (see below), whose sum is σ = 325575936. Its totient is φ = 25835520.

The previous prime is 99474127. The next prime is 99474181. The reversal of 99474144 is 44147499.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 99474096 and 99474105.

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, 664 + ... + 14120.

It is an arithmetic number, because the mean of its divisors is an integer number (3391416).

Almost surely, 299474144 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 99474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162787968).

99474144 is an abundant number, since it is smaller than the sum of its proper divisors (226101792).

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

99474144 is a wasteful number, since it uses less digits than its factorization.

99474144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13488 (or 13480 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 99474144 is about 9973.6725432511. The cubic root of 99474144 is about 463.3438506086.

The spelling of 99474144 in words is "ninety-nine million, four hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 13457 26914 40371 53828 80742 94199 107656 148027 161484 188398 215312 282597 296054 322968 376796 430624 444081 565194 592108 645936 753592 888162 1036189 1130388 1184216 1291872 1507184 1776324 2072378 2260776 2368432 3014368 3108567 3552648 4144756 4521552 4736864 6217134 7105296 8289512 9043104 12434268 14210592 16579024 24868536 33158048 49737072 99474144