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2470752 = 253223373
BaseRepresentation
bin1001011011001101100000
311122112020100
421123031200
51113031002
6124542400
730000234
oct11331540
94575210
102470752
111438349
129b1a00
136867ab
144845c4
1533c11c
hex25b360

2470752 has 72 divisors (see below), whose sum is σ = 7351344. Its totient is φ = 785664.

The previous prime is 2470739. The next prime is 2470753. The reversal of 2470752 is 2570742.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×24707522 = 12209230891008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2470753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6438 + ... + 6810.

It is an arithmetic number, because the mean of its divisors is an integer number (102102).

22470752 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 2470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675672).

2470752 is an abundant number, since it is smaller than the sum of its proper divisors (4880592).

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

2470752 is a wasteful number, since it uses less digits than its factorization.

2470752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2470752 is about 1571.8625894142. The cubic root of 2470752 is about 135.1895280336.

The spelling of 2470752 in words is "two million, four hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 373 414 552 736 746 828 1104 1119 1492 1656 2208 2238 2984 3312 3357 4476 5968 6624 6714 8579 8952 11936 13428 17158 17904 25737 26856 34316 35808 51474 53712 68632 77211 102948 107424 137264 154422 205896 274528 308844 411792 617688 823584 1235376 2470752