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4006105312 = 251119598999
BaseRepresentation
bin1110111011001000…
…0101000011100000
3101100012012020100211
43232302011003200
531201030332222
61501304423504
7201163222216
oct35662050340
911305166324
104006105312
111776384240
12939777b94
134bac7b621
142a00a2cb6
15186a7e277
hexeec850e0

4006105312 has 48 divisors (see below), whose sum is σ = 9056880000. Its totient is φ = 1725114240.

The previous prime is 4006105303. The next prime is 4006105351. The reversal of 4006105312 is 2135016004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 292812 + ... + 306187.

It is an arithmetic number, because the mean of its divisors is an integer number (188685000).

Almost surely, 24006105312 is an apocalyptic number.

It is an amenable number.

4006105312 is an abundant number, since it is smaller than the sum of its proper divisors (5050774688).

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

4006105312 is a wasteful number, since it uses less digits than its factorization.

4006105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599039 (or 599031 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4006105312 is about 63293.8015290597. The cubic root of 4006105312 is about 1588.2082729703.

The spelling of 4006105312 in words is "four billion, six million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 598999 1197998 2395996 4791992 6588989 9583984 11380981 13177978 19167968 22761962 26355956 45523924 52711912 91047848 105423824 125190791 182095696 210847648 250381582 364191392 500763164 1001526328 2003052656 4006105312