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1056816450 = 233525411447
BaseRepresentation
bin111110111111011…
…011110101000010
32201122120211122000
4332333123311002
54131021111300
6252511124430
735121535344
oct7677336502
92648524560
101056816450
114a25aa928
12255b13716
1313ac410a1
14a04db294
1562ba5c00
hex3efdbd42

1056816450 has 96 divisors (see below), whose sum is σ = 2919515520. Its totient is φ = 281102400.

The previous prime is 1056816427. The next prime is 1056816487. The reversal of 1056816450 is 546186501.

1056816450 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 1 + 645 + 0 = 666.

It is a super-3 number, since 3×10568164503 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729627 + ... + 731073.

It is an arithmetic number, because the mean of its divisors is an integer number (30411620).

Almost surely, 21056816450 is an apocalyptic number.

1056816450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056816450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459757760).

1056816450 is an abundant number, since it is smaller than the sum of its proper divisors (1862699070).

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

1056816450 is a wasteful number, since it uses less digits than its factorization.

1056816450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1056816450 is about 32508.7134473206. The cubic root of 1056816450 is about 1018.5910477537.

The spelling of 1056816450 in words is "one billion, fifty-six million, eight hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 541 675 1082 1350 1447 1623 2705 2894 3246 4341 4869 5410 7235 8115 8682 9738 13023 13525 14470 14607 16230 21705 24345 26046 27050 29214 36175 39069 40575 43410 48690 65115 72350 73035 78138 81150 108525 121725 130230 146070 195345 217050 243450 325575 365175 390690 651150 730350 782827 976725 1565654 1953450 2348481 3914135 4696962 7045443 7828270 11742405 14090886 19570675 21136329 23484810 35227215 39141350 42272658 58712025 70454430 105681645 117424050 176136075 211363290 352272150 528408225 1056816450