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2533753056 = 253193893571
BaseRepresentation
bin1001011100000110…
…0000000011100000
320112120200222202210
42113001200003200
520142120044211
61055231042120
7116534355102
oct22701400340
96476628683
102533753056
11109026819a
125a8670340
13314c19783
141a0719572
15ec6969a6
hex970600e0

2533753056 has 96 divisors (see below), whose sum is σ = 7021123200. Its totient is φ = 797852160.

The previous prime is 2533753031. The next prime is 2533753087. The reversal of 2533753056 is 6503573352.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707751 + ... + 711321.

It is an arithmetic number, because the mean of its divisors is an integer number (73136700).

Almost surely, 22533753056 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 2533753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510561600).

2533753056 is an abundant number, since it is smaller than the sum of its proper divisors (4487370144).

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

2533753056 is a wasteful number, since it uses less digits than its factorization.

2533753056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 39.

The square root of 2533753056 is about 50336.3989176818. The cubic root of 2533753056 is about 1363.2895168409.

The spelling of 2533753056 in words is "two billion, five hundred thirty-three million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 389 456 608 778 912 1167 1556 1824 2334 3112 3571 4668 6224 7142 7391 9336 10713 12448 14284 14782 18672 21426 22173 28568 29564 37344 42852 44346 57136 59128 67849 85704 88692 114272 118256 135698 171408 177384 203547 236512 271396 342816 354768 407094 542792 709536 814188 1085584 1389119 1628376 2171168 2778238 3256752 4167357 5556476 6513504 8334714 11112952 16669428 22225904 26393261 33338856 44451808 52786522 66677712 79179783 105573044 133355424 158359566 211146088 316719132 422292176 633438264 844584352 1266876528 2533753056