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268683048 = 23333733619
BaseRepresentation
bin10000000000111…
…100011100101000
3200201120111212000
4100000330130220
51022240324143
642354451000
76441524334
oct2000743450
9621514760
10268683048
11128734607
1275b93a60
134388456a
14279807c4
15188c4bd3
hex1003c728

268683048 has 64 divisors (see below), whose sum is σ = 766536000. Its totient is φ = 87137856.

The previous prime is 268683043. The next prime is 268683053. The reversal of 268683048 is 840386862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (268683043) and next prime (268683053).

It is a junction number, because it is equal to n+sod(n) for n = 268682994 and 268683012.

It is not an unprimeable number, because it can be changed into a prime (268683043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8818 + ... + 24801.

It is an arithmetic number, because the mean of its divisors is an integer number (11977125).

Almost surely, 2268683048 is an apocalyptic number.

It is an amenable number.

268683048 is an abundant number, since it is smaller than the sum of its proper divisors (497852952).

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

268683048 is a wasteful number, since it uses less digits than its factorization.

268683048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33671 (or 33661 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268683048 is about 16391.5541667043. The cubic root of 268683048 is about 645.2778467631.

The spelling of 268683048 in words is "two hundred sixty-eight million, six hundred eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 33619 67238 100857 134476 201714 268952 302571 403428 605142 806856 907713 1210284 1243903 1815426 2420568 2487806 3630852 3731709 4975612 7261704 7463418 9951224 11195127 14926836 22390254 29853672 33585381 44780508 67170762 89561016 134341524 268683048