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56353266 = 23317223157
BaseRepresentation
bin1101011011111…
…0000111110010
310221001001011000
43112332013302
5103411301031
65331502430
71252665144
oct326760762
9127031130
1056353266
11298a0052
1216a57a16
13b8a1138
1476acc94
154e323e6
hex35be1f2

56353266 has 96 divisors (see below), whose sum is σ = 139697280. Its totient is φ = 16803072.

The previous prime is 56353237. The next prime is 56353277. The reversal of 56353266 is 66235365.

56353266 is a `hidden beast` number, since 5 + 63 + 532 + 66 = 666.

Its product of digits (97200) is a multiple of the sum of its prime factors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 56353266.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358860 + ... + 359016.

It is an arithmetic number, because the mean of its divisors is an integer number (1455180).

Almost surely, 256353266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56353266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69848640).

56353266 is an abundant number, since it is smaller than the sum of its proper divisors (83344014).

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

56353266 is a wasteful number, since it uses less digits than its factorization.

56353266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 56353266 is about 7506.8812432328. The cubic root of 56353266 is about 383.3890431110.

The spelling of 56353266 in words is "fifty-six million, three hundred fifty-three thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 157 207 289 306 314 391 414 459 471 578 621 782 867 918 942 1173 1242 1413 1734 2346 2601 2669 2826 3519 3611 4239 5202 5338 6647 7038 7222 7803 8007 8478 10557 10833 13294 15606 16014 19941 21114 21666 24021 32499 39882 45373 48042 59823 61387 64998 72063 90746 97497 119646 122774 136119 144126 179469 184161 194994 272238 358938 368322 408357 552483 816714 1043579 1104966 1225071 1657449 2087158 2450142 3130737 3314898 6261474 9392211 18784422 28176633 56353266