Search a number
-
+
56637440 = 21155531
BaseRepresentation
bin1101100000001…
…1100000000000
310221120110221222
43120003200000
5103444344230
65341534212
71255260506
oct330034000
9127513858
1056637440
1129a74602
1216b74368
13b9705a2
147744676
154e8b6e5
hex3603800

56637440 has 48 divisors (see below), whose sum is σ = 135921240. Its totient is φ = 22650880.

The previous prime is 56637437. The next prime is 56637479. The reversal of 56637440 is 4473665.

It is a self number, because there is not a number n which added to its sum of digits gives 56637440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7475 + ... + 13005.

Almost surely, 256637440 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 56637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67960620).

56637440 is an abundant number, since it is smaller than the sum of its proper divisors (79283800).

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

56637440 is an equidigital number, since it uses as much as digits as its factorization.

56637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 56637440 is about 7525.7850088878. The cubic root of 56637440 is about 384.0324046728.

The spelling of 56637440 in words is "fifty-six million, six hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 5531 10240 11062 22124 27655 44248 55310 88496 110620 176992 221240 353984 442480 707968 884960 1415936 1769920 2831872 3539840 5663744 7079680 11327488 14159360 28318720 56637440