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99027972 = 223223199601
BaseRepresentation
bin1011110011100…
…00110000000100
320220100010211200
411321300300010
5200322343342
613454302500
72311503201
oct571606004
9226303750
1099027972
11509981aa
12291b7a30
1317693244
14d21aca8
158a6194c
hex5e70c04

99027972 has 72 divisors (see below), whose sum is σ = 262953600. Its totient is φ = 31363200.

The previous prime is 99027967. The next prime is 99027989. The reversal of 99027972 is 27972099.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164472 + ... + 165072.

Almost surely, 299027972 is an apocalyptic number.

99027972 is a gapful number since it is divisible by the number (92) 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 99027972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131476800).

99027972 is an abundant number, since it is smaller than the sum of its proper divisors (163925628).

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

99027972 is a wasteful number, since it uses less digits than its factorization.

99027972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 99027972 is about 9951.2799176789. The cubic root of 99027972 is about 462.6500659369.

It can be divided in two parts, 99027 and 972, that added together give a palindrome (99999).

The spelling of 99027972 in words is "ninety-nine million, twenty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 199 207 276 398 414 597 601 796 828 1194 1202 1791 1803 2388 2404 3582 3606 4577 5409 7164 7212 9154 10818 13731 13823 18308 21636 27462 27646 41193 41469 54924 55292 82386 82938 119599 124407 164772 165876 239198 248814 358797 478396 497628 717594 1076391 1435188 2152782 2750777 4305564 5501554 8252331 11003108 16504662 24756993 33009324 49513986 99027972