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2572413792 = 253132299001
BaseRepresentation
bin1001100101010011…
…1110101101100000
320122021110011022220
42121110332231200
520232014220132
61103131431040
7120514104444
oct23124765540
96567404286
102572413792
111100073613
125b95b5480
1331cc34850
141a5900824
15100c81a2c
hex9953eb60

2572413792 has 96 divisors (see below), whose sum is σ = 7304582880. Its totient is φ = 787968000.

The previous prime is 2572413763. The next prime is 2572413827. The reversal of 2572413792 is 2973142752.

2572413792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281292 + ... + 290292.

It is an arithmetic number, because the mean of its divisors is an integer number (76089405).

Almost surely, 22572413792 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 2572413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652291440).

2572413792 is an abundant number, since it is smaller than the sum of its proper divisors (4732169088).

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

2572413792 is a wasteful number, since it uses less digits than its factorization.

2572413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9248 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 2572413792 is about 50718.9687592325. The cubic root of 2572413792 is about 1370.1883684372.

The spelling of 2572413792 in words is "two billion, five hundred seventy-two million, four hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 229 312 416 458 624 687 916 1248 1374 1832 2748 2977 3664 5496 5954 7328 8931 9001 10992 11908 17862 18002 21984 23816 27003 35724 36004 47632 54006 71448 72008 95264 108012 117013 142896 144016 216024 234026 285792 288032 351039 432048 468052 702078 864096 936104 1404156 1872208 2061229 2808312 3744416 4122458 5616624 6183687 8244916 11233248 12367374 16489832 24734748 26795977 32979664 49469496 53591954 65959328 80387931 98938992 107183908 160775862 197877984 214367816 321551724 428735632 643103448 857471264 1286206896 2572413792