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56328000 = 263532347
BaseRepresentation
bin1101011011011…
…1111101000000
310220222202111020
43112313331000
5103404444000
65331145440
71252531401
oct326677500
9126882436
1056328000
1129883073
1216a45280
13b8927a1
1476a39a8
154e29ba0
hex35b7f40

56328000 has 112 divisors (see below), whose sum is σ = 186074304. Its totient is φ = 15014400.

The previous prime is 56327993. The next prime is 56328017. The reversal of 56328000 is 82365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22827 + ... + 25173.

Almost surely, 256328000 is an apocalyptic number.

56328000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93037152).

56328000 is an abundant number, since it is smaller than the sum of its proper divisors (129746304).

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

56328000 is a wasteful number, since it uses less digits than its factorization.

56328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56328000 is about 7505.1981985821. The cubic root of 56328000 is about 383.3317370234.

The spelling of 56328000 in words is "fifty-six million, three hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2347 2400 3000 4000 4694 4800 6000 7041 8000 9388 11735 12000 14082 18776 23470 24000 28164 35205 37552 46940 56328 58675 70410 75104 93880 112656 117350 140820 150208 176025 187760 225312 234700 281640 293375 352050 375520 450624 469400 563280 586750 704100 751040 880125 938800 1126560 1173500 1408200 1760250 1877600 2253120 2347000 2816400 3520500 3755200 4694000 5632800 7041000 9388000 11265600 14082000 18776000 28164000 56328000