Search a number
-
+
56453408 = 25111923367
BaseRepresentation
bin1101011101011…
…0100100100000
310221020010111222
43113112210200
5103423002113
65333554212
71253563124
oct327264440
9127203458
1056453408
1129959310
1216aa5968
13b9078ab
1476d7584
154e51e08
hex35d6920

56453408 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 23189760.

The previous prime is 56453407. The next prime is 56453417. The reversal of 56453408 is 80435465.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56453407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153641 + ... + 154007.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 256453408 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 56453408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

56453408 is an abundant number, since it is smaller than the sum of its proper divisors (77086432).

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

56453408 is a wasteful number, since it uses less digits than its factorization.

56453408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 56453408 is about 7513.5482962446. The cubic root of 56453408 is about 383.6160079263.

The spelling of 56453408 in words is "fifty-six million, four hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 367 368 418 437 506 608 734 736 836 874 1012 1468 1672 1748 2024 2936 3344 3496 4037 4048 4807 5872 6688 6973 6992 8074 8096 8441 9614 11744 13946 13984 16148 16882 19228 27892 32296 33764 38456 55784 64592 67528 76703 76912 92851 111568 129184 135056 153406 153824 160379 185702 223136 270112 306812 320758 371404 613624 641516 742808 1227248 1283032 1485616 1764169 2454496 2566064 2971232 3528338 5132128 7056676 14113352 28226704 56453408