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253105984 = 2623171947
BaseRepresentation
bin11110001011000…
…01011101000000
3122122021010010201
433011201131000
51004243342414
641040534544
76162236215
oct1705413500
9578233121
10253105984
1111a9652aa
1270921454
134058c371
1425887b0c
1517349574
hexf161740

253105984 has 28 divisors (see below), whose sum is σ = 524097504. Its totient is φ = 121049984.

The previous prime is 253105949. The next prime is 253105991. The reversal of 253105984 is 489501352.

253105984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84502 + ... + 87445.

It is an arithmetic number, because the mean of its divisors is an integer number (18717768).

Almost surely, 2253105984 is an apocalyptic number.

It is an amenable number.

253105984 is an abundant number, since it is smaller than the sum of its proper divisors (270991520).

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

253105984 is a wasteful number, since it uses less digits than its factorization.

253105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171982 (or 171972 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 253105984 is about 15909.3049502485. The cubic root of 253105984 is about 632.5586578729.

The spelling of 253105984 in words is "two hundred fifty-three million, one hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 171947 343894 687788 1375576 2751152 3954781 5502304 7909562 11004608 15819124 31638248 63276496 126552992 253105984