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268498152 = 23341331873
BaseRepresentation
bin10000000000001…
…111010011101000
3200201020010020000
4100000033103220
51022213420102
642350503000
76440124306
oct2000172350
9621203200
10268498152
111286186aa
1275b04a60
134381b360
1427933276
151888a01c
hex1000f4e8

268498152 has 80 divisors (see below), whose sum is σ = 809918340. Its totient is φ = 82612224.

The previous prime is 268498147. The next prime is 268498157. The reversal of 268498152 is 251894862.

268498152 is a `hidden beast` number, since 2 + 6 + 8 + 498 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (268498147) and next prime (268498157).

It can be written as a sum of positive squares in 2 ways, for example, as 237961476 + 30536676 = 15426^2 + 5526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268498098 and 268498107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268498157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7513 + ... + 24360.

Almost surely, 2268498152 is an apocalyptic number.

It is an amenable number.

268498152 is an abundant number, since it is smaller than the sum of its proper divisors (541420188).

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

268498152 is a wasteful number, since it uses less digits than its factorization.

268498152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31904 (or 31891 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 268498152 is about 16385.9132183714. The cubic root of 268498152 is about 645.1297954043.

The spelling of 268498152 in words is "two hundred sixty-eight million, four hundred ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 31873 63746 95619 127492 191238 254984 286857 382476 414349 573714 764952 828698 860571 1147428 1243047 1657396 1721142 2294856 2486094 2581713 3314792 3442284 3729141 4972188 5163426 6884568 7458282 9944376 10326852 11187423 14916564 20653704 22374846 29833128 33562269 44749692 67124538 89499384 134249076 268498152