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2472792 = 233741359
BaseRepresentation
bin1001011011101101011000
311122122000220
421123231120
51113112132
6125000040
730006210
oct11335530
94578026
102472792
111439933
129b3020
136876ba
14485240
1533ca2c
hex25bb58

2472792 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 687360.

The previous prime is 2472791. The next prime is 2472797. The reversal of 2472792 is 2972742.

It is a super-2 number, since 2×24727922 = 12229400550528, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6709 + ... + 7067.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22472792 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 2472792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2472792 is an abundant number, since it is smaller than the sum of its proper divisors (4784808).

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

2472792 is a wasteful number, since it uses less digits than its factorization.

2472792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 2472792 is about 1572.5113672085. The cubic root of 2472792 is about 135.2267246401.

The spelling of 2472792 in words is "two million, four hundred seventy-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 359 492 574 718 861 984 1077 1148 1436 1722 2154 2296 2513 2872 3444 4308 5026 6888 7539 8616 10052 14719 15078 20104 29438 30156 44157 58876 60312 88314 103033 117752 176628 206066 309099 353256 412132 618198 824264 1236396 2472792