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272274984 = 233231199613
BaseRepresentation
bin10000001110101…
…001011000101000
3200222100000001200
4100032221120220
51024200244414
643003444200
76514204422
oct2016513050
9628300050
10272274984
1112a768253
1277226660
1344541477
1428237812
1518d84109
hex103a9628

272274984 has 96 divisors (see below), whose sum is σ = 766272000. Its totient is φ = 87246720.

The previous prime is 272274979. The next prime is 272274991. The reversal of 272274984 is 489472272.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 443862 + ... + 444474.

It is an arithmetic number, because the mean of its divisors is an integer number (7982000).

Almost surely, 2272274984 is an apocalyptic number.

272274984 is a gapful number since it is divisible by the number (24) 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 272274984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383136000).

272274984 is an abundant number, since it is smaller than the sum of its proper divisors (493997016).

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

272274984 is a wasteful number, since it uses less digits than its factorization.

272274984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 848 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 272274984 is about 16500.7570735406. The cubic root of 272274984 is about 648.1406302004.

The spelling of 272274984 in words is "two hundred seventy-two million, two hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 199 248 279 372 398 558 597 613 744 796 1116 1194 1226 1592 1791 1839 2232 2388 2452 3582 3678 4776 4904 5517 6169 7164 7356 11034 12338 14328 14712 18507 19003 22068 24676 37014 38006 44136 49352 55521 57009 74028 76012 111042 114018 121987 148056 152024 171027 222084 228036 243974 342054 365961 444168 456072 487948 684108 731922 975896 1097883 1368216 1463844 2195766 2927688 3781597 4391532 7563194 8783064 11344791 15126388 22689582 30252776 34034373 45379164 68068746 90758328 136137492 272274984