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253274028 = 223719374289
BaseRepresentation
bin11110001100010…
…10011110101100
3122122120122122120
433012022132230
51004314232103
641044312540
76163536150
oct1706123654
9578518576
10253274028
1111aa6a587
12709a2750
134061a9b7
14258cd060
151737e253
hexf18a7ac

253274028 has 96 divisors (see below), whose sum is σ = 730329600. Its totient is φ = 66686976.

The previous prime is 253274017. The next prime is 253274051. The reversal of 253274028 is 820472352.

It is a self number, because there is not a number n which added to its sum of digits gives 253274028.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56908 + ... + 61196.

It is an arithmetic number, because the mean of its divisors is an integer number (7607600).

Almost surely, 2253274028 is an apocalyptic number.

253274028 is a gapful number since it is divisible by the number (28) 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 253274028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365164800).

253274028 is an abundant number, since it is smaller than the sum of its proper divisors (477055572).

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

253274028 is a wasteful number, since it uses less digits than its factorization.

253274028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 253274028 is about 15914.5853857397. The cubic root of 253274028 is about 632.6986179131.

The spelling of 253274028 in words is "two hundred fifty-three million, two hundred seventy-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 37 38 42 57 74 76 84 111 114 133 148 222 228 259 266 399 444 518 532 703 777 798 1036 1406 1554 1596 2109 2812 3108 4218 4289 4921 8436 8578 9842 12867 14763 17156 19684 25734 29526 30023 51468 59052 60046 81491 90069 120092 158693 162982 180138 244473 317386 325964 360276 476079 488946 570437 634772 952158 977892 1110851 1140874 1711311 1904316 2221702 2281748 3015167 3332553 3422622 4443404 6030334 6665106 6845244 9045501 12060668 13330212 18091002 21106169 36182004 42212338 63318507 84424676 126637014 253274028