Search a number
-
+
253245696 = 2831131967
BaseRepresentation
bin11110001100000…
…11100100000000
3122122112012210020
433012003210000
51004312330241
641043533440
76163360434
oct1706034400
9578465706
10253245696
1111aa50270
127098a280
134060ab32
14258c29c4
1517375b66
hexf183900

253245696 has 144 divisors (see below), whose sum is σ = 759779328. Its totient is φ = 74188800.

The previous prime is 253245689. The next prime is 253245703. The reversal of 253245696 is 696542352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253245689) and next prime (253245703).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261405 + ... + 262371.

Almost surely, 2253245696 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 253245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379889664).

253245696 is an abundant number, since it is smaller than the sum of its proper divisors (506533632).

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

253245696 is a wasteful number, since it uses less digits than its factorization.

253245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 253245696 is about 15913.6952339801. The cubic root of 253245696 is about 632.6750251721.

The spelling of 253245696 in words is "two hundred fifty-three million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 967 992 1023 1056 1364 1408 1488 1934 1984 2046 2112 2728 2816 2901 2976 3868 3968 4092 4224 5456 5802 5952 7736 7936 8184 8448 10637 10912 11604 11904 15472 16368 21274 21824 23208 23808 29977 30944 31911 32736 42548 43648 46416 59954 61888 63822 65472 85096 87296 89931 92832 119908 123776 127644 130944 170192 179862 185664 239816 247552 255288 261888 329747 340384 359724 371328 479632 510576 659494 680768 719448 742656 959264 989241 1021152 1318988 1361536 1438896 1918528 1978482 2042304 2637976 2723072 2877792 3837056 3956964 4084608 5275952 5755584 7674112 7913928 8169216 10551904 11511168 15827856 21103808 23022336 31655712 42207616 63311424 84415232 126622848 253245696