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4276896 = 2531323149
BaseRepresentation
bin10000010100001010100000
322001021210120
4100110022200
52043330041
6231400240
751232041
oct20241240
98037716
104276896
112461328
121523080
13b69910
147d48c8
15597366
hex4142a0

4276896 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1250304.

The previous prime is 4276879. The next prime is 4276903. The reversal of 4276896 is 6986724.

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

It is a d-powerful number, because it can be written as 411 + 25 + 74 + 6 + 85 + 93 + 66 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28630 + ... + 28778.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 24276896 is an apocalyptic number.

4276896 is a gapful number since it is divisible by the number (46) 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 4276896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4276896 is an abundant number, since it is smaller than the sum of its proper divisors (8423904).

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

4276896 is a wasteful number, since it uses less digits than its factorization.

4276896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 4276896 is about 2068.0657629776. The cubic root of 4276896 is about 162.3215682488.

The spelling of 4276896 in words is "four million, two hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 149 156 184 208 276 298 299 312 368 416 447 552 596 598 624 736 894 897 1104 1192 1196 1248 1788 1794 1937 2208 2384 2392 3427 3576 3588 3874 4768 4784 5811 6854 7152 7176 7748 9568 10281 11622 13708 14304 14352 15496 20562 23244 27416 28704 30992 41124 44551 46488 54832 61984 82248 89102 92976 109664 133653 164496 178204 185952 267306 328992 356408 534612 712816 1069224 1425632 2138448 4276896