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56542290 = 23571937383
BaseRepresentation
bin1101011110110…
…0010001010010
310221101122102220
43113230101102
5103433323130
65335521510
71254413220
oct327542122
9127348386
1056542290
1129a0a072
1216b29296
13b93919c
14771bb10
154e6d410
hex35ec452

56542290 has 128 divisors (see below), whose sum is σ = 168099840. Its totient is φ = 11881728.

The previous prime is 56542279. The next prime is 56542307. The reversal of 56542290 is 9224565.

56542290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 147439 + ... + 147821.

It is an arithmetic number, because the mean of its divisors is an integer number (1313280).

Almost surely, 256542290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56542290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84049920).

56542290 is an abundant number, since it is smaller than the sum of its proper divisors (111557550).

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

56542290 is a wasteful number, since it uses less digits than its factorization.

56542290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56542290 is about 7519.4607519423. The cubic root of 56542290 is about 383.8172280157.

The spelling of 56542290 in words is "fifty-six million, five hundred forty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 37 38 42 57 70 74 95 105 111 114 133 185 190 210 222 259 266 285 370 383 399 518 555 570 665 703 766 777 798 1110 1149 1295 1330 1406 1554 1915 1995 2109 2298 2590 2681 3515 3830 3885 3990 4218 4921 5362 5745 7030 7277 7770 8043 9842 10545 11490 13405 14171 14554 14763 16086 21090 21831 24605 26810 28342 29526 36385 40215 42513 43662 49210 50939 70855 72770 73815 80430 85026 99197 101878 109155 141710 147630 152817 198394 212565 218310 254695 269249 297591 305634 425130 495985 509390 538498 595182 764085 807747 991970 1346245 1487955 1528170 1615494 1884743 2692490 2975910 3769486 4038735 5654229 8077470 9423715 11308458 18847430 28271145 56542290