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253961244 = 22352271151
BaseRepresentation
bin11110010001100…
…10010000011100
3122200212120100000
433020302100130
51010003224434
641111134300
76202430535
oct1710622034
9580776300
10253961244
11120399929
1271074390
13407cb734
1425a2b68c
1517467b99
hexf23241c

253961244 has 72 divisors (see below), whose sum is σ = 669247488. Its totient is φ = 84207600.

The previous prime is 253961243. The next prime is 253961251. The reversal of 253961244 is 442169352.

It is a happy number.

253961244 is a `hidden beast` number, since 2 + 5 + 39 + 612 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253961199 and 253961208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253961243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220069 + ... + 221219.

It is an arithmetic number, because the mean of its divisors is an integer number (9295104).

Almost surely, 2253961244 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 253961244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

253961244 is an abundant number, since it is smaller than the sum of its proper divisors (415286244).

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

253961244 is a wasteful number, since it uses less digits than its factorization.

253961244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1383 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 253961244 is about 15936.1615202658. The cubic root of 253961244 is about 633.2703411649.

The spelling of 253961244 in words is "two hundred fifty-three million, nine hundred sixty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 243 324 454 486 681 908 972 1151 1362 2043 2302 2724 3453 4086 4604 6129 6906 8172 10359 12258 13812 18387 20718 24516 31077 36774 41436 55161 62154 73548 93231 110322 124308 186462 220644 261277 279693 372924 522554 559386 783831 1045108 1118772 1567662 2351493 3135324 4702986 7054479 9405972 14108958 21163437 28217916 42326874 63490311 84653748 126980622 253961244