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1825990656 = 2113742457
BaseRepresentation
bin110110011010110…
…0110100000000000
311201020220221021120
41230311212200000
512214423200111
6501105152240
763151443630
oct15465464000
94636827246
101825990656
118577a6896
1242b62b680
132313c0159
141347206c0
15aa48e406
hex6cd66800

1825990656 has 96 divisors (see below), whose sum is σ = 5563696320. Its totient is φ = 521699328.

The previous prime is 1825990651. The next prime is 1825990669. The reversal of 1825990656 is 6560995281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1825990599 and 1825990608.

It is not an unprimeable number, because it can be changed into a prime (1825990651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21780 + ... + 64236.

It is an arithmetic number, because the mean of its divisors is an integer number (57955170).

Almost surely, 21825990656 is an apocalyptic number.

1825990656 is a gapful number since it is divisible by the number (16) 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 1825990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781848160).

1825990656 is an abundant number, since it is smaller than the sum of its proper divisors (3737705664).

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

1825990656 is an equidigital number, since it uses as much as digits as its factorization.

1825990656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489 (or 42469 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 1825990656 is about 42731.6119050054. The cubic root of 1825990656 is about 1222.2672735839.

The spelling of 1825990656 in words is "one billion, eight hundred twenty-five million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 42457 43008 84914 127371 169828 254742 297199 339656 509484 594398 679312 891597 1018968 1188796 1358624 1783194 2037936 2377592 2717248 3566388 4075872 4755184 5434496 7132776 8151744 9510368 10868992 14265552 16303488 19020736 21737984 28531104 32606976 38041472 43475968 57062208 65213952 76082944 86951936 114124416 130427904 152165888 228248832 260855808 304331776 456497664 608663552 912995328 1825990656