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253288470 = 2356122269
BaseRepresentation
bin11110001100011…
…10000000010110
3122122121101110110
433012032000112
51004320212340
641044503450
76163626231
oct1706160026
9578541413
10253288470
1111aa7a416
12709aab86
1340624446
14258d4418
1517383680
hexf18e016

253288470 has 48 divisors (see below), whose sum is σ = 618293520. Its totient is φ = 66407040.

The previous prime is 253288439. The next prime is 253288481. The reversal of 253288470 is 74882352.

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, 110496 + ... + 112764.

It is an arithmetic number, because the mean of its divisors is an integer number (12881115).

Almost surely, 2253288470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253288470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309146760).

253288470 is an abundant number, since it is smaller than the sum of its proper divisors (365005050).

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

253288470 is a wasteful number, since it uses less digits than its factorization.

253288470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 253288470 is about 15915.0391139953. The cubic root of 253288470 is about 632.7106434385.

The spelling of 253288470 in words is "two hundred fifty-three million, two hundred eighty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 2269 3721 4538 6807 7442 11163 11345 13614 18605 22326 22690 34035 37210 55815 68070 111630 138409 276818 415227 692045 830454 1384090 2076135 4152270 8442949 16885898 25328847 42214745 50657694 84429490 126644235 253288470