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272685952 = 2771173379
BaseRepresentation
bin10000010000001…
…101101110000000
3201000002212210201
4100100031232000
51024301422302
643020334544
76520535530
oct2020155600
9630085721
10272685952
1112aa18aa0
12773a4454
1344656546
14283034c0
1518e15c87
hex1040db80

272685952 has 128 divisors (see below), whose sum is σ = 688377600. Its totient is φ = 104509440.

The previous prime is 272685923. The next prime is 272685971. The reversal of 272685952 is 259586272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719299 + ... + 719677.

It is an arithmetic number, because the mean of its divisors is an integer number (5377950).

Almost surely, 2272685952 is an apocalyptic number.

272685952 is a gapful number since it is divisible by the number (22) 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 272685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344188800).

272685952 is an abundant number, since it is smaller than the sum of its proper divisors (415691648).

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

272685952 is a wasteful number, since it uses less digits than its factorization.

272685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 272685952 is about 16513.2053823599. The cubic root of 272685952 is about 648.4665643608.

The spelling of 272685952 in words is "two hundred seventy-two million, six hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 73 77 88 112 128 146 154 176 224 292 308 352 379 448 511 584 616 704 758 803 896 1022 1168 1232 1408 1516 1606 2044 2336 2464 2653 3032 3212 4088 4169 4672 4928 5306 5621 6064 6424 8176 8338 9344 9856 10612 11242 12128 12848 16352 16676 21224 22484 24256 25696 27667 29183 32704 33352 42448 44968 48512 51392 55334 58366 65408 66704 84896 89936 102784 110668 116732 133408 169792 179872 193669 221336 233464 266816 304337 339584 359744 387338 442672 466928 533632 608674 719488 774676 885344 933856 1217348 1549352 1770688 1867712 2130359 2434696 3098704 3541376 3735424 4260718 4869392 6197408 8521436 9738784 12394816 17042872 19477568 24789632 34085744 38955136 68171488 136342976 272685952