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56342440 = 23571121663
BaseRepresentation
bin1101011011101…
…1011110101000
310221000111022001
43112323132220
5103410424230
65331340344
71252621450
oct326733650
9127014261
1056342440
1129892a00
1216a516b4
13b89922b
1476a8d60
154e2e0ca
hex35bb7a8

56342440 has 96 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 17550720.

The previous prime is 56342431. The next prime is 56342441. The reversal of 56342440 is 4424365.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 56342399 and 56342408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56342441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33049 + ... + 34711.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 256342440 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 56342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

56342440 is an abundant number, since it is smaller than the sum of its proper divisors (103002200).

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

56342440 is a wasteful number, since it uses less digits than its factorization.

56342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 56342440 is about 7506.1601368476. The cubic root of 56342440 is about 383.3644906412.

The spelling of 56342440 in words is "fifty-six million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1663 1694 2420 3080 3326 3388 4235 4840 6652 6776 8315 8470 11641 13304 16630 16940 18293 23282 33260 33880 36586 46564 58205 66520 73172 91465 93128 116410 128051 146344 182930 201223 232820 256102 365860 402446 465640 512204 640255 731720 804892 1006115 1024408 1280510 1408561 1609784 2012230 2561020 2817122 4024460 5122040 5634244 7042805 8048920 11268488 14085610 28171220 56342440