Search a number
-
+
56342264 = 23111494297
BaseRepresentation
bin1101011011101…
…1011011111000
310221000111001112
43112323123320
5103410423024
65331335452
71252621106
oct326733370
9127014045
1056342264
1129892860
1216a51588
13b899124
1476a8c76
154e2e00e
hex35bb6f8

56342264 has 32 divisors (see below), whose sum is σ = 116046000. Its totient is φ = 25432320.

The previous prime is 56342261. The next prime is 56342269. The reversal of 56342264 is 46224365.

It is a self number, because there is not a number n which added to its sum of digits gives 56342264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56342261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10964 + ... + 15260.

Almost surely, 256342264 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 56342264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58023000).

56342264 is an abundant number, since it is smaller than the sum of its proper divisors (59703736).

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

56342264 is a wasteful number, since it uses less digits than its factorization.

56342264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4459 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 56342264 is about 7506.1484131344. The cubic root of 56342264 is about 383.3640914618.

The spelling of 56342264 in words is "fifty-six million, three hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 149 298 596 1192 1639 3278 4297 6556 8594 13112 17188 34376 47267 94534 189068 378136 640253 1280506 2561012 5122024 7042783 14085566 28171132 56342264