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4255416 = 233511199
BaseRepresentation
bin10000001110111010111000
322000012100000
4100032322320
52042133131
6231113000
751112314
oct20167270
98005300
104255416
112447180
121512760
13b5cbc9
147cab44
15590ce6
hex40eeb8

4255416 has 96 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1283040.

The previous prime is 4255403. The next prime is 4255429. The reversal of 4255416 is 6145524.

It is an interprime number because it is at equal distance from previous prime (4255403) and next prime (4255429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4255416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21285 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 24255416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4255416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4255416 is an abundant number, since it is smaller than the sum of its proper divisors (8848584).

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

4255416 is a wasteful number, since it uses less digits than its factorization.

4255416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 4255416 is about 2062.8659675316. The cubic root of 4255416 is about 162.0493676703.

The spelling of 4255416 in words is "four million, two hundred fifty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 199 216 243 264 297 324 396 398 486 594 597 648 792 796 891 972 1188 1194 1592 1782 1791 1944 2189 2376 2388 2673 3564 3582 4378 4776 5346 5373 6567 7128 7164 8756 10692 10746 13134 14328 16119 17512 19701 21384 21492 26268 32238 39402 42984 48357 52536 59103 64476 78804 96714 118206 128952 157608 177309 193428 236412 354618 386856 472824 531927 709236 1063854 1418472 2127708 4255416