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253473012 = 2232131134793
BaseRepresentation
bin11110001101110…
…11000011110100
3122122221202121100
433012323003310
51004342114022
641052450100
76165325242
oct1706730364
9578852540
10253473012
11120096031
1270a79930
134068a440
1425941792
15173bd1ac
hexf1bb0f4

253473012 has 72 divisors (see below), whose sum is σ = 696261384. Its totient is φ = 77285376.

The previous prime is 253472983. The next prime is 253473037. The reversal of 253473012 is 210374352.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 252047376 = 1194^2 + 15876^2 .

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, 50488 + ... + 55280.

It is an arithmetic number, because the mean of its divisors is an integer number (9670297).

Almost surely, 2253473012 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 253473012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348130692).

253473012 is an abundant number, since it is smaller than the sum of its proper divisors (442788372).

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

253473012 is a wasteful number, since it uses less digits than its factorization.

253473012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 253473012 is about 15920.8357820813. The cubic root of 253473012 is about 632.8642671469.

The spelling of 253473012 in words is "two hundred fifty-three million, four hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 452 468 678 1017 1356 1469 2034 2938 4068 4407 4793 5876 8814 9586 13221 14379 17628 19172 26442 28758 43137 52884 57516 62309 86274 124618 172548 186927 249236 373854 541609 560781 747708 1083218 1121562 1624827 2166436 2243124 3249654 4874481 6499308 7040917 9748962 14081834 19497924 21122751 28163668 42245502 63368253 84491004 126736506 253473012