Search a number
-
+
2472858 = 232374779
BaseRepresentation
bin1001011011101110011010
311122122010100
421123232122
51113112413
6125000230
730006333
oct11335632
94578110
102472858
111439993
129b3076
1368773b
1448528a
1533ca73
hex25bb9a

2472858 has 48 divisors (see below), whose sum is σ = 5690880. Its totient is φ = 775008.

The previous prime is 2472857. The next prime is 2472893. The reversal of 2472858 is 8582742.

It is a happy number.

It is a super-2 number, since 2×24728582 = 12230053376328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31263 + ... + 31341.

It is an arithmetic number, because the mean of its divisors is an integer number (118560).

22472858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845440).

2472858 is an abundant number, since it is smaller than the sum of its proper divisors (3218022).

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

2472858 is a wasteful number, since it uses less digits than its factorization.

2472858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2472858 is about 1572.5323526084. The cubic root of 2472858 is about 135.2279277181.

The spelling of 2472858 in words is "two million, four hundred seventy-two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 37 47 74 79 94 111 141 158 222 237 282 333 423 474 666 711 846 1422 1739 2923 3478 3713 5217 5846 7426 8769 10434 11139 15651 17538 22278 26307 31302 33417 52614 66834 137381 274762 412143 824286 1236429 2472858