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272996352 = 211334937
BaseRepresentation
bin10000010001011…
…001100000000000
3201000200122121000
4100101121200000
51024341340402
643031132000
76523300506
oct2021314000
9630618530
10272996352
11130110222
1277514000
1344734905
1428384676
1518e77c1c
hex10459800

272996352 has 96 divisors (see below), whose sum is σ = 808844400. Its totient is φ = 90980352.

The previous prime is 272996341. The next prime is 272996357. The reversal of 272996352 is 253699272.

It is a happy number.

272996352 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 272996298 and 272996307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272996357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52828 + ... + 57764.

Almost surely, 2272996352 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 272996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404422200).

272996352 is an abundant number, since it is smaller than the sum of its proper divisors (535848048).

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

272996352 is an equidigital number, since it uses as much as digits as its factorization.

272996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4942 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 272996352 is about 16522.6012479876. The cubic root of 272996352 is about 648.7125221425.

The spelling of 272996352 in words is "two hundred seventy-two million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 4937 6144 6912 9216 9874 13824 14811 18432 19748 27648 29622 39496 44433 55296 59244 78992 88866 118488 133299 157984 177732 236976 266598 315968 355464 473952 533196 631936 710928 947904 1066392 1263872 1421856 1895808 2132784 2527744 2843712 3791616 4265568 5055488 5687424 7583232 8531136 10110976 11374848 15166464 17062272 22749696 30332928 34124544 45499392 68249088 90998784 136498176 272996352