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3641228448 = 2531113265241
BaseRepresentation
bin1101100100001000…
…1011110010100000
3100101202121120101220
43121002023302200
524424123302243
61401152055040
7156142634244
oct33102136240
910352546356
103641228448
1115a9418910
12857534480
134604b6b60
14267842424
15164a07783
hexd908bca0

3641228448 has 96 divisors (see below), whose sum is σ = 11229285312. Its totient is φ = 1018521600.

The previous prime is 3641228413. The next prime is 3641228471. The reversal of 3641228448 is 8448221463.

It is a happy number.

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

It is a super-2 number, since 2×36412284482 = 26517089221048977408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118893 + ... + 146348.

It is an arithmetic number, because the mean of its divisors is an integer number (116971722).

Almost surely, 23641228448 is an apocalyptic number.

It is an amenable number.

3641228448 is an abundant number, since it is smaller than the sum of its proper divisors (7588056864).

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

3641228448 is a wasteful number, since it uses less digits than its factorization.

3641228448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265278 (or 265270 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 3641228448 is about 60342.5923208475. The cubic root of 3641228448 is about 1538.4473652705.

The spelling of 3641228448 in words is "three billion, six hundred forty-one million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 265241 530482 795723 1060964 1591446 2121928 2917651 3182892 3448133 4243856 5835302 6365784 6896266 8487712 8752953 10344399 11670604 12731568 13792532 17505906 20688798 23341208 25463136 27585064 35011812 37929463 41377596 46682416 55170128 70023624 75858926 82755192 93364832 110340256 113788389 140047248 151717852 165510384 227576778 280094496 303435704 331020768 455153556 606871408 910307112 1213742816 1820614224 3641228448