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272433096 = 2332131915319
BaseRepresentation
bin10000001111001…
…111111111001000
3200222122000221200
4100033033333020
51024220324341
643011104200
76515433405
oct2017177710
9628560850
10272433096
1112a866021
12772a2060
1344598420
14282792ac
1518db5db6
hex103cffc8

272433096 has 96 divisors (see below), whose sum is σ = 836472000. Its totient is φ = 79408512.

The previous prime is 272433067. The next prime is 272433097. The reversal of 272433096 is 690334272.

It is a happy number.

It is a super-2 number, since 2×2724330962 = 148439583592290432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272433096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272433097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10125 + ... + 25443.

It is an arithmetic number, because the mean of its divisors is an integer number (8713250).

Almost surely, 2272433096 is an apocalyptic number.

272433096 is a gapful number since it is divisible by the number (26) 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 272433096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418236000).

272433096 is an abundant number, since it is smaller than the sum of its proper divisors (564038904).

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

272433096 is a wasteful number, since it uses less digits than its factorization.

272433096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 272433096 is about 16505.5474310912. The cubic root of 272433096 is about 648.2660658654.

The spelling of 272433096 in words is "two hundred seventy-two million, four hundred thirty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 15319 17784 30638 45957 61276 91914 122552 137871 183828 199147 275742 291061 367656 398294 551484 582122 597441 796588 873183 1102968 1164244 1194882 1593176 1746366 1792323 2328488 2389764 2619549 3492732 3584646 3783793 4779528 5239098 6985464 7169292 7567586 10478196 11351379 14338584 15135172 20956392 22702758 30270344 34054137 45405516 68108274 90811032 136216548 272433096