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56276304 = 2437271337
BaseRepresentation
bin1101011010101…
…1010101010000
310220220010120120
43112223111100
5103401320204
65330110240
71252224600
oct326532520
9126803516
1056276304
1129848247
1216a1b380
13b8750b6
14768cc00
154e196d9
hex35ab550

56276304 has 120 divisors (see below), whose sum is σ = 172006848. Its totient is φ = 15805440.

The previous prime is 56276299. The next prime is 56276321. The reversal of 56276304 is 40367265.

56276304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166824 + ... + 167160.

Almost surely, 256276304 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 56276304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86003424).

56276304 is an abundant number, since it is smaller than the sum of its proper divisors (115730544).

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

56276304 is a wasteful number, since it uses less digits than its factorization.

56276304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 56276304 is about 7501.7533950404. The cubic root of 56276304 is about 383.2144313439.

The spelling of 56276304 in words is "fifty-six million, two hundred seventy-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 337 392 426 497 568 588 674 784 852 994 1011 1136 1176 1348 1491 1704 1988 2022 2352 2359 2696 2982 3408 3479 3976 4044 4718 5392 5964 6958 7077 7952 8088 9436 10437 11928 13916 14154 16176 16513 18872 20874 23856 23927 27832 28308 33026 37744 41748 47854 49539 55664 56616 66052 71781 83496 95708 99078 113232 132104 143562 166992 167489 191416 198156 264208 287124 334978 382832 396312 502467 574248 669956 792624 1004934 1148496 1172423 1339912 2009868 2344846 2679824 3517269 4019736 4689692 7034538 8039472 9379384 14069076 18758768 28138152 56276304