Search a number
-
+
2372928 = 26317727
BaseRepresentation
bin1001000011010101000000
311110120001020
421003111000
51101413203
6122505440
726112105
oct11032500
94416036
102372928
1113808a8
12965280
136510cc
1445aaac
1531d153
hex243540

2372928 has 56 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 743424.

The previous prime is 2372927. The next prime is 2372941. The reversal of 2372928 is 8292732.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2901 + ... + 3627.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

22372928 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 2372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2372928 is an abundant number, since it is smaller than the sum of its proper divisors (4283904).

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

2372928 is a wasteful number, since it uses less digits than its factorization.

2372928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2372928 is about 1540.4311084888. The cubic root of 2372928 is about 133.3812716512.

The spelling of 2372928 in words is "two million, three hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 727 816 1088 1454 1632 2181 2908 3264 4362 5816 8724 11632 12359 17448 23264 24718 34896 37077 46528 49436 69792 74154 98872 139584 148308 197744 296616 395488 593232 790976 1186464 2372928