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99487872 = 2733112617
BaseRepresentation
bin1011110111000…
…01000010000000
320221012111201000
411323201002000
5200432102442
613512212000
72315430051
oct573410200
9227174630
1099487872
1151181790
122939a000
13177c4683
14d2da728
158b02d4c
hex5ee1080

99487872 has 128 divisors (see below), whose sum is σ = 320443200. Its totient is φ = 30136320.

The previous prime is 99487847. The next prime is 99487873. The reversal of 99487872 is 27878499.

99487872 is a `hidden beast` number, since 99 + 487 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (99487873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36708 + ... + 39324.

Almost surely, 299487872 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 99487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160221600).

99487872 is an abundant number, since it is smaller than the sum of its proper divisors (220955328).

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

99487872 is a wasteful number, since it uses less digits than its factorization.

99487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2633 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 99487872 is about 9974.3607313953. The cubic root of 99487872 is about 463.3651643274.

The spelling of 99487872 in words is "ninety-nine million, four hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 2617 3168 3456 4224 4752 5234 6336 7851 9504 10468 12672 15702 19008 20936 23553 28787 31404 38016 41872 47106 57574 62808 70659 83744 86361 94212 115148 125616 141318 167488 172722 188424 230296 251232 259083 282636 334976 345444 376848 460592 502464 518166 565272 690888 753696 777249 921184 1004928 1036332 1130544 1381776 1507392 1554498 1842368 2072664 2261088 2763552 3014784 3108996 3684736 4145328 4522176 5527104 6217992 8290656 9044352 11054208 12435984 16581312 24871968 33162624 49743936 99487872