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56350440 = 23325157997
BaseRepresentation
bin1101011011110…
…1011011101000
310221000220021100
43112331123220
5103411203230
65331441400
71252653666
oct326753350
9127026240
1056350440
1129898a13
1216a56260
13b89ca73
1476abc36
154e31660
hex35bd6e8

56350440 has 96 divisors (see below), whose sum is σ = 184490280. Its totient is φ = 14916096.

The previous prime is 56350423. The next prime is 56350457. The reversal of 56350440 is 4405365.

It is an interprime number because it is at equal distance from previous prime (56350423) and next prime (56350457).

It can be written as a sum of positive squares in 4 ways, for example, as 49028004 + 7322436 = 7002^2 + 2706^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56022 + ... + 57018.

Almost surely, 256350440 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 56350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92245140).

56350440 is an abundant number, since it is smaller than the sum of its proper divisors (128139840).

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

56350440 is a wasteful number, since it uses less digits than its factorization.

56350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56350440 is about 7506.6930135713. The cubic root of 56350440 is about 383.3826342808.

The spelling of 56350440 in words is "fifty-six million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 997 1256 1413 1570 1884 1994 2355 2826 2991 3140 3768 3988 4710 4985 5652 5982 6280 7065 7976 8973 9420 9970 11304 11964 14130 14955 17946 18840 19940 23928 28260 29910 35892 39880 44865 56520 59820 71784 89730 119640 156529 179460 313058 358920 469587 626116 782645 939174 1252232 1408761 1565290 1878348 2347935 2817522 3130580 3756696 4695870 5635044 6261160 7043805 9391740 11270088 14087610 18783480 28175220 56350440