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253775256 = 23374013767
BaseRepresentation
bin11110010000001…
…00110110011000
3122200112010012120
433020010312120
51004431302011
641103141240
76201024360
oct1710046630
9580463176
10253775256
11120282119
1270ba4820
1340764b97
14259bd9a0
151742ca06
hexf204d98

253775256 has 64 divisors (see below), whose sum is σ = 727073280. Its totient is φ = 72307200.

The previous prime is 253775251. The next prime is 253775273. The reversal of 253775256 is 652577352.

It is a happy number.

253775256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253775251) 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, 65485 + ... + 69251.

It is an arithmetic number, because the mean of its divisors is an integer number (11360520).

Almost surely, 2253775256 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 253775256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363536640).

253775256 is an abundant number, since it is smaller than the sum of its proper divisors (473298024).

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

253775256 is a wasteful number, since it uses less digits than its factorization.

253775256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4180 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 253775256 is about 15930.3250437648. The cubic root of 253775256 is about 633.1157119963.

The spelling of 253775256 in words is "two hundred fifty-three million, seven hundred seventy-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 401 802 1203 1604 2406 2807 3208 3767 4812 5614 7534 8421 9624 11228 11301 15068 16842 22456 22602 26369 30136 33684 45204 52738 67368 79107 90408 105476 158214 210952 316428 632856 1510567 3021134 4531701 6042268 9063402 10573969 12084536 18126804 21147938 31721907 36253608 42295876 63443814 84591752 126887628 253775256