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8252928 = 2934199
BaseRepresentation
bin11111011110111000000000
3120112021220000
4133132320000
54103043203
6452520000
7130102005
oct37367000
916467800
108252928
114727602
122920000
13192c5b8
14114b8ac
15ad04a3
hex7dee00

8252928 has 100 divisors (see below), whose sum is σ = 24756600. Its totient is φ = 2737152.

The previous prime is 8252917. The next prime is 8252941. The reversal of 8252928 is 8292528.

It is a super-2 number, since 2×82529282 = 136221641146368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8252892 and 8252901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41373 + ... + 41571.

It is an arithmetic number, because the mean of its divisors is an integer number (247566).

Almost surely, 28252928 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 8252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378300).

8252928 is an abundant number, since it is smaller than the sum of its proper divisors (16503672).

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

8252928 is an equidigital number, since it uses as much as digits as its factorization.

8252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 8252928 is about 2872.7909774294. The cubic root of 8252928 is about 202.0859027507.

It can be divided in two parts, 8252 and 928, that added together give a triangular number (9180 = T135).

The spelling of 8252928 in words is "eight million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 199 216 256 288 324 384 398 432 512 576 597 648 768 796 864 1152 1194 1296 1536 1592 1728 1791 2304 2388 2592 3184 3456 3582 4608 4776 5184 5373 6368 6912 7164 9552 10368 10746 12736 13824 14328 16119 19104 20736 21492 25472 28656 32238 38208 41472 42984 50944 57312 64476 76416 85968 101888 114624 128952 152832 171936 229248 257904 305664 343872 458496 515808 687744 916992 1031616 1375488 2063232 2750976 4126464 8252928