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99412272 = 2438947
BaseRepresentation
bin1011110110011…
…10100100110000
320221001200000000
411323032210300
5200422143042
613510430000
72314663461
oct573164460
9227050000
1099412272
115112aa03
1229362300
131779913b
14d2bad68
158ada74c
hex5ece930

99412272 has 90 divisors (see below), whose sum is σ = 289207308. Its totient is φ = 33102432.

The previous prime is 99412231. The next prime is 99412321. The reversal of 99412272 is 27221499.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104503 + ... + 105449.

Almost surely, 299412272 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 99412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144603654).

99412272 is an abundant number, since it is smaller than the sum of its proper divisors (189795036).

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

99412272 is an frugal number, since it uses more digits than its factorization.

99412272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 952 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 99412272 is about 9970.5702946221. The cubic root of 99412272 is about 463.2477654842.

The spelling of 99412272 in words is "ninety-nine million, four hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 947 972 1296 1458 1894 1944 2187 2841 2916 3788 3888 4374 5682 5832 6561 7576 8523 8748 11364 11664 13122 15152 17046 17496 22728 25569 26244 34092 34992 45456 51138 52488 68184 76707 102276 104976 136368 153414 204552 230121 306828 409104 460242 613656 690363 920484 1227312 1380726 1840968 2071089 2761452 3681936 4142178 5522904 6213267 8284356 11045808 12426534 16568712 24853068 33137424 49706136 99412272