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3725623296 = 215334211
BaseRepresentation
bin1101111000010000…
…1000000000000000
3100121122102021101000
43132010020000000
530112224421141
61413405012000
7161216163333
oct33604100000
910548367330
103725623296
111642020a1a
1287b854000
13474b25735
14274b3061a
1516c1285b6
hexde108000

3725623296 has 128 divisors (see below), whose sum is σ = 11041336800. Its totient is φ = 1241579520.

The previous prime is 3725623273. The next prime is 3725623327. The reversal of 3725623296 is 6923265273.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882631 + ... + 886841.

Almost surely, 23725623296 is an apocalyptic number.

3725623296 is a gapful number since it is divisible by the number (36) 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 3725623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520668400).

3725623296 is an abundant number, since it is smaller than the sum of its proper divisors (7315713504).

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

3725623296 is an frugal number, since it uses more digits than its factorization.

3725623296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4216 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3725623296 is about 61037.8841048738. The cubic root of 3725623296 is about 1550.2425282654.

The spelling of 3725623296 in words is "three billion, seven hundred twenty-five million, six hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4211 4608 6144 6912 8192 8422 9216 12288 12633 13824 16384 16844 18432 24576 25266 27648 32768 33688 36864 37899 49152 50532 55296 67376 73728 75798 98304 101064 110592 113697 134752 147456 151596 202128 221184 227394 269504 294912 303192 404256 442368 454788 539008 606384 808512 884736 909576 1078016 1212768 1617024 1819152 2156032 2425536 3234048 3638304 4312064 4851072 6468096 7276608 8624128 9702144 12936192 14553216 17248256 19404288 25872384 29106432 34496512 38808576 51744768 58212864 68993024 77617152 103489536 116425728 137986048 155234304 206979072 232851456 310468608 413958144 465702912 620937216 931405824 1241874432 1862811648 3725623296