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253287424 = 2101353359
BaseRepresentation
bin11110001100011…
…01110000000000
3122122121100000201
433012031300000
51004320144144
641044454544
76163623205
oct1706156000
9578540021
10253287424
1111aa79655
12709aa454
1340623b20
14258d3cac
15173831d4
hexf18dc00

253287424 has 88 divisors (see below), whose sum is σ = 557111520. Its totient is φ = 114376704.

The previous prime is 253287407. The next prime is 253287449. The reversal of 253287424 is 424782352.

253287424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705357 + ... + 705715.

Almost surely, 2253287424 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 253287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278555760).

253287424 is an abundant number, since it is smaller than the sum of its proper divisors (303824096).

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

253287424 is a wasteful number, since it uses less digits than its factorization.

253287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 253287424 is about 15915.0062519623. The cubic root of 253287424 is about 632.7097724735.

The spelling of 253287424 in words is "two hundred fifty-three million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 359 416 424 512 689 718 832 848 1024 1378 1436 1664 1696 2756 2872 3328 3392 4667 5512 5744 6656 6784 9334 11024 11488 13312 13568 18668 19027 22048 22976 27136 37336 38054 44096 45952 54272 74672 76108 88192 91904 149344 152216 176384 183808 247351 298688 304432 352768 367616 494702 597376 608864 705536 989404 1194752 1217728 1978808 2389504 2435456 3957616 4779008 4870912 7915232 9741824 15830464 19483648 31660928 63321856 126643712 253287424