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2572940832 = 2537111073253
BaseRepresentation
bin1001100101011011…
…1111011000100000
320122022102221021220
42121112333120200
520232133101312
61103151015040
7120521431140
oct23126773040
96568387256
102572940832
1111003a3590
125b980a480
1332008a6c7
141a59da920
15100d37c8c
hex995bf620

2572940832 has 192 divisors, whose sum is σ = 8501842944. Its totient is φ = 661847040.

The previous prime is 2572940831. The next prime is 2572940833. The reversal of 2572940832 is 2380492752.

2572940832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2572940831) and next prime (2572940833).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2572940831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789318 + ... + 792570.

It is an arithmetic number, because the mean of its divisors is an integer number (44280432).

Almost surely, 22572940832 is an apocalyptic number.

2572940832 is a gapful number since it is divisible by the number (22) 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 2572940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250921472).

2572940832 is an abundant number, since it is smaller than the sum of its proper divisors (5928902112).

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

2572940832 is a wasteful number, since it uses less digits than its factorization.

2572940832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2572940832 is about 50724.1641823697. The cubic root of 2572940832 is about 1370.2819374641.

The spelling of 2572940832 in words is "two billion, five hundred seventy-two million, nine hundred forty thousand, eight hundred thirty-two".