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253309416 = 23373144583
BaseRepresentation
bin11110001100100…
…11000111101000
3122122122110012020
433012103013220
51004321400131
641045144440
76164044263
oct1706230750
9578573166
10253309416
1111aa94128
12709bb120
1340630b39
14258dbcda
1517389996
hexf1931e8

253309416 has 32 divisors (see below), whose sum is σ = 641952960. Its totient is φ = 83279232.

The previous prime is 253309411. The next prime is 253309477. The reversal of 253309416 is 614903352.

253309416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2533094162 = 128331320468522112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253309411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70540 + ... + 74043.

It is an arithmetic number, because the mean of its divisors is an integer number (20061030).

Almost surely, 2253309416 is an apocalyptic number.

It is an amenable number.

253309416 is an abundant number, since it is smaller than the sum of its proper divisors (388643544).

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

253309416 is a wasteful number, since it uses less digits than its factorization.

253309416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144665 (or 144661 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 253309416 is about 15915.6971572093. The cubic root of 253309416 is about 632.7280838848.

The spelling of 253309416 in words is "two hundred fifty-three million, three hundred nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 144583 289166 433749 578332 867498 1156664 1734996 3469992 10554559 21109118 31663677 42218236 63327354 84436472 126654708 253309416