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4256640 = 27325739
BaseRepresentation
bin10000001111001110000000
322000021000100
4100033032000
52042203030
6231122400
751116013
oct20171600
98007010
104256640
112448093
121513400
13b6062b
147cb37a
15591360
hex40f380

4256640 has 96 divisors (see below), whose sum is σ = 14718600. Its totient is φ = 1133568.

The previous prime is 4256639. The next prime is 4256653. The reversal of 4256640 is 466524.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 5391 + ... + 6129.

Almost surely, 24256640 is an apocalyptic number.

4256640 is a gapful number since it is divisible by the number (40) 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 4256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359300).

4256640 is an abundant number, since it is smaller than the sum of its proper divisors (10461960).

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

4256640 is a wasteful number, since it uses less digits than its factorization.

4256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4256640 is about 2063.1626208324. The cubic root of 4256640 is about 162.0649031206.

The spelling of 4256640 in words is "four million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 739 960 1152 1440 1478 1920 2217 2880 2956 3695 4434 5760 5912 6651 7390 8868 11085 11824 13302 14780 17736 22170 23648 26604 29560 33255 35472 44340 47296 53208 59120 66510 70944 88680 94592 106416 118240 133020 141888 177360 212832 236480 266040 283776 354720 425664 472960 532080 709440 851328 1064160 1418880 2128320 4256640