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56248320 = 211351831
BaseRepresentation
bin1101011010010…
…0100000000000
310220211201012010
43112210200000
5103344421240
65325332520
71252050162
oct326444000
9126751163
1056248320
1129829217
1216a07140
13b86543b
147682932
154e11280
hex35a4800

56248320 has 96 divisors (see below), whose sum is σ = 180048960. Its totient is φ = 14991360.

The previous prime is 56248307. The next prime is 56248321. The reversal of 56248320 is 2384265.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56248321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29805 + ... + 31635.

It is an arithmetic number, because the mean of its divisors is an integer number (1875510).

Almost surely, 256248320 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 56248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024480).

56248320 is an abundant number, since it is smaller than the sum of its proper divisors (123800640).

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

56248320 is a wasteful number, since it uses less digits than its factorization.

56248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 56248320 is about 7499.8879991637. The cubic root of 56248320 is about 383.1509016407.

The spelling of 56248320 in words is "fifty-six million, two hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1831 1920 2048 2560 3072 3662 3840 5120 5493 6144 7324 7680 9155 10240 10986 14648 15360 18310 21972 27465 29296 30720 36620 43944 54930 58592 73240 87888 109860 117184 146480 175776 219720 234368 292960 351552 439440 468736 585920 703104 878880 937472 1171840 1406208 1757760 1874944 2343680 2812416 3515520 3749888 4687360 5624832 7031040 9374720 11249664 14062080 18749440 28124160 56248320