Search a number
-
+
31426948 = 22717103641
BaseRepresentation
bin111011111100…
…0100110000100
32012010122200001
41313320212010
531021130243
63041331044
7531060520
oct167704604
965118601
1031426948
1116815593
12a636a84
136684637
144260d80
152b5ba4d
hex1df8984

31426948 has 48 divisors (see below), whose sum is σ = 67302144. Its totient is φ = 12533760.

The previous prime is 31426939. The next prime is 31426987. The reversal of 31426948 is 84962413.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48708 + ... + 49348.

It is an arithmetic number, because the mean of its divisors is an integer number (1402128).

Almost surely, 231426948 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 31426948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33651072).

31426948 is an abundant number, since it is smaller than the sum of its proper divisors (35875196).

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

31426948 is a wasteful number, since it uses less digits than its factorization.

31426948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 31426948 is about 5605.9743131770. The cubic root of 31426948 is about 315.5736519154.

The spelling of 31426948 in words is "thirty-one million, four hundred twenty-six thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 103 119 206 238 412 476 641 721 1282 1442 1751 2564 2884 3502 4487 7004 8974 10897 12257 17948 21794 24514 43588 49028 66023 76279 132046 152558 264092 305116 462161 924322 1122391 1848644 2244782 4489564 7856737 15713474 31426948