Search a number
-
+
501002656 = 25721131937
BaseRepresentation
bin11101110111001…
…011000110100000
31021220201120102221
4131313023012200
52011224041111
6121414120424
715262311100
oct3567130640
91256646387
10501002656
11237891790
1211b950114
137ca4659b
144a777200
152deb5371
hex1ddcb1a0

501002656 has 144 divisors (see below), whose sum is σ = 1293449472. Its totient is φ = 188697600.

The previous prime is 501002653. The next prime is 501002707. The reversal of 501002656 is 656200105.

It is a super-2 number, since 2×5010026562 = 502007322638108672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 501002656.

It is not an unprimeable number, because it can be changed into a prime (501002653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534220 + ... + 535156.

It is an arithmetic number, because the mean of its divisors is an integer number (8982288).

Almost surely, 2501002656 is an apocalyptic number.

501002656 is a gapful number since it is divisible by the number (56) 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 501002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646724736).

501002656 is an abundant number, since it is smaller than the sum of its proper divisors (792446816).

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

501002656 is a wasteful number, since it uses less digits than its factorization.

501002656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 501002656 is about 22383.0886161852. The cubic root of 501002656 is about 794.2307108096.

The spelling of 501002656 in words is "five hundred one million, two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 308 341 352 392 434 496 539 616 682 784 868 937 992 1078 1232 1364 1519 1568 1736 1874 2156 2387 2464 2728 3038 3472 3748 4312 4774 5456 6076 6559 6944 7496 8624 9548 10307 10912 12152 13118 14992 16709 17248 19096 20614 24304 26236 29047 29984 33418 38192 41228 45913 48608 52472 58094 66836 72149 76384 82456 91826 104944 116188 133672 144298 164912 183652 203329 209888 232376 267344 288596 319517 329824 367304 406658 464752 505043 534688 577192 639034 734608 813316 929504 1010086 1154384 1278068 1423303 1469216 1626632 2020172 2236619 2308768 2556136 2846606 3253264 4040344 4473238 5112272 5693212 6506528 8080688 8946476 10224544 11386424 15656333 16161376 17892952 22772848 31312666 35785904 45545696 62625332 71571808 125250664 250501328 501002656