Search a number
-
+
56483840 = 21357197
BaseRepresentation
bin1101011101111…
…0000000000000
310221021200021002
43113132000000
5103424440330
65334351132
71254050630
oct327360000
9127250232
1056483840
112997a166
1216abb4a8
13b9186ba
1477046c0
154e5ae45
hex35de000

56483840 has 112 divisors (see below), whose sum is σ = 155704032. Its totient is φ = 19267584.

The previous prime is 56483839. The next prime is 56483863. The reversal of 56483840 is 4838465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×564838402 = 6380848362291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56483794 and 56483803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286622 + ... + 286818.

Almost surely, 256483840 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 56483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77852016).

56483840 is an abundant number, since it is smaller than the sum of its proper divisors (99220192).

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

56483840 is an equidigital number, since it uses as much as digits as its factorization.

56483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 56483840 is about 7515.5731651019. The cubic root of 56483840 is about 383.6849267372.

The spelling of 56483840 in words is "fifty-six million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 197 224 256 280 320 394 448 512 560 640 788 896 985 1024 1120 1280 1379 1576 1792 1970 2048 2240 2560 2758 3152 3584 3940 4096 4480 5120 5516 6304 6895 7168 7880 8192 8960 10240 11032 12608 13790 14336 15760 17920 20480 22064 25216 27580 28672 31520 35840 40960 44128 50432 55160 57344 63040 71680 88256 100864 110320 126080 143360 176512 201728 220640 252160 286720 353024 403456 441280 504320 706048 806912 882560 1008640 1412096 1613824 1765120 2017280 2824192 3530240 4034560 5648384 7060480 8069120 11296768 14120960 28241920 56483840