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725663744 = 214133407
BaseRepresentation
bin101011010000001…
…100000000000000
31212120110112111222
4223100030000000
52441232214434
6200001254212
723661016511
oct5320140000
91776415458
10725663744
11342688a03
12183034368
13b7456740
146c538a08
1543a9172e
hex2b40c000

725663744 has 60 divisors (see below), whose sum is σ = 1563379104. Its totient is φ = 334823424.

The previous prime is 725663711. The next prime is 725663749. The reversal of 725663744 is 447366527.

It is a junction number, because it is equal to n+sod(n) for n = 725663695 and 725663704.

It is not an unprimeable number, because it can be changed into a prime (725663749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211289 + ... + 214695.

Almost surely, 2725663744 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 725663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781689552).

725663744 is an abundant number, since it is smaller than the sum of its proper divisors (837715360).

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

725663744 is an equidigital number, since it uses as much as digits as its factorization.

725663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3422 counting only the distinct ones).

The product of its digits is 846720, while the sum is 44.

The square root of 725663744 is about 26938.1466326100. The cubic root of 725663744 is about 898.6249553832.

The spelling of 725663744 in words is "seven hundred twenty-five million, six hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 3407 4096 6656 6814 8192 13312 13628 16384 26624 27256 44291 53248 54512 88582 106496 109024 177164 212992 218048 354328 436096 708656 872192 1417312 1744384 2834624 3488768 5669248 6977536 11338496 13955072 22676992 27910144 45353984 55820288 90707968 181415936 362831872 725663744