Search a number
-
+
31064208 = 2437591567
BaseRepresentation
bin111011010000…
…0000010010000
32011110020002020
41312200002100
530423023313
63025451440
7525020130
oct166400220
964406066
1031064208
1116597aaa
12a4a0b80
1365884b6
1441a8ac0
152ad9323
hex1da0090

31064208 has 80 divisors (see below), whose sum is σ = 93327360. Its totient is φ = 8719488.

The previous prime is 31064179. The next prime is 31064233. The reversal of 31064208 is 80246013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19041 + ... + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 231064208 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 31064208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46663680).

31064208 is an abundant number, since it is smaller than the sum of its proper divisors (62263152).

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

31064208 is a wasteful number, since it uses less digits than its factorization.

31064208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 31064208 is about 5573.5274288371. The cubic root of 31064208 is about 314.3547992954.

The spelling of 31064208 in words is "thirty-one million, sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1567 1652 2478 2832 3134 3304 4701 4956 6268 6608 9402 9912 10969 12536 18804 19824 21938 25072 32907 37608 43876 65814 75216 87752 92453 131628 175504 184906 263256 277359 369812 526512 554718 647171 739624 1109436 1294342 1479248 1941513 2218872 2588684 3883026 4437744 5177368 7766052 10354736 15532104 31064208