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3948112640 = 28517181439
BaseRepresentation
bin1110101101010011…
…0110101100000000
3101012011001220101002
43223110312230000
531041204101030
61451433431132
7166560255323
oct35324665400
911164056332
103948112640
11174667450a
1292226b4a8
134abc55234
142964c87ba
15181926245
hexeb536b00

3948112640 has 72 divisors (see below), whose sum is σ = 10013310720. Its totient is φ = 1486340096.

The previous prime is 3948112621. The next prime is 3948112661. The reversal of 3948112640 is 462118493.

It is a junction number, because it is equal to n+sod(n) for n = 3948112594 and 3948112603.

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, 68960 + ... + 112479.

It is an arithmetic number, because the mean of its divisors is an integer number (139073760).

Almost surely, 23948112640 is an apocalyptic number.

It is an amenable number.

3948112640 is an abundant number, since it is smaller than the sum of its proper divisors (6065198080).

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

3948112640 is a wasteful number, since it uses less digits than its factorization.

3948112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181477 (or 181463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 3948112640 is about 62834.0086259026. The cubic root of 3948112640 is about 1580.5073198632.

The spelling of 3948112640 in words is "three billion, nine hundred forty-eight million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 181439 362878 725756 907195 1451512 1814390 2903024 3084463 3628780 5806048 6168926 7257560 11612096 12337852 14515120 15422315 23224192 24675704 29030240 30844630 46448384 49351408 58060480 61689260 98702816 116120960 123378520 197405632 232241920 246757040 394811264 493514080 789622528 987028160 1974056320 3948112640