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253284744 = 2331979289
BaseRepresentation
bin11110001100011…
…01000110001000
3122122121012100110
433012031012020
51004320102434
641044434320
76163612326
oct1706150610
9578535313
10253284744
1111aa77639
12709a89a0
134062283b
14258d2d16
15173824e9
hexf18d188

253284744 has 96 divisors (see below), whose sum is σ = 682668000. Its totient is φ = 78084864.

The previous prime is 253284737. The next prime is 253284793. The reversal of 253284744 is 447482352.

It is a happy number.

Its product of digits (215040) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2845852 + ... + 2845940.

It is an arithmetic number, because the mean of its divisors is an integer number (7111125).

Almost surely, 2253284744 is an apocalyptic number.

253284744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253284744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341334000).

253284744 is an abundant number, since it is smaller than the sum of its proper divisors (429383256).

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

253284744 is a wasteful number, since it uses less digits than its factorization.

253284744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 192 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 253284744 is about 15914.9220544745. The cubic root of 253284744 is about 632.7075409267.

The spelling of 253284744 in words is "two hundred fifty-three million, two hundred eighty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 89 114 152 158 178 228 237 267 316 356 456 474 534 632 712 948 1068 1501 1691 1896 2136 3002 3382 4503 5073 6004 6241 6764 7031 9006 10146 12008 12482 13528 14062 18012 18723 20292 21093 24964 28124 36024 37446 40584 42186 49928 56248 74892 84372 118579 133589 149784 168744 237158 267178 355737 400767 474316 534356 555449 711474 801534 948632 1068712 1110898 1422948 1603068 1666347 2221796 2845896 3206136 3332694 4443592 6665388 10553531 13330776 21107062 31660593 42214124 63321186 84428248 126642372 253284744