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725653248 = 2833832467
BaseRepresentation
bin101011010000001…
…001011100000000
31212120110000010020
4223100021130000
52441231400443
6200001133440
723660644065
oct5320113400
91776400106
10725653248
11342681031
1218302a280
13b7451a28
146c534c6c
1543a8d583
hex2b409700

725653248 has 72 divisors (see below), whose sum is σ = 1937123328. Its totient is φ = 241155072.

The previous prime is 725653199. The next prime is 725653249. The reversal of 725653248 is 842356527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725653249) 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, 292911 + ... + 295377.

Almost surely, 2725653248 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 725653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968561664).

725653248 is an abundant number, since it is smaller than the sum of its proper divisors (1211470080).

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

725653248 is a wasteful number, since it uses less digits than its factorization.

725653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2855 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 725653248 is about 26937.9518152364. The cubic root of 725653248 is about 898.6206227920.

The spelling of 725653248 in words is "seven hundred twenty-five million, six hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 383 384 766 768 1149 1532 2298 2467 3064 4596 4934 6128 7401 9192 9868 12256 14802 18384 19736 24512 29604 36768 39472 49024 59208 73536 78944 98048 118416 147072 157888 236832 294144 315776 473664 631552 944861 947328 1889722 1894656 2834583 3779444 5669166 7558888 11338332 15117776 22676664 30235552 45353328 60471104 90706656 120942208 181413312 241884416 362826624 725653248