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630158464 = 2713438807
BaseRepresentation
bin100101100011110…
…111010010000000
31121220202100220101
4211203313102000
52242310032324
6142310252144
721421154455
oct4543672200
91556670811
10630158464
112a3787421
12157057054
13a0727a40
145d99782c
153a4c8944
hex258f7480

630158464 has 64 divisors (see below), whose sum is σ = 1383560640. Its totient is φ = 284046336.

The previous prime is 630158449. The next prime is 630158467. The reversal of 630158464 is 464851036.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (630158467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67149 + ... + 75955.

It is an arithmetic number, because the mean of its divisors is an integer number (21618135).

Almost surely, 2630158464 is an apocalyptic number.

630158464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691780320).

630158464 is an abundant number, since it is smaller than the sum of its proper divisors (753402176).

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

630158464 is a wasteful number, since it uses less digits than its factorization.

630158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 630158464 is about 25102.9572759864. The cubic root of 630158464 is about 857.3337579455. Note that the first 3 decimals are identical.

The spelling of 630158464 in words is "six hundred thirty million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8807 8944 17614 17888 35228 35776 70456 71552 114491 140912 228982 281824 378701 457964 563648 757402 915928 1127296 1514804 1831856 3029608 3663712 4923113 6059216 7327424 9846226 12118432 14654848 19692452 24236864 39384904 48473728 78769808 157539616 315079232 630158464