[go: up one dir, main page]

Search a number
-
+
31897242 = 23213271503
BaseRepresentation
bin111100110101…
…1011010011010
32020000112210100
41321223122122
531131202432
63055400230
7535056606
oct171533232
966015710
1031897242
1117006963
12a823076
1367ba710
144344506
152c0107c
hex1e6b69a

31897242 has 48 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 9758880.

The previous prime is 31897231. The next prime is 31897259. The reversal of 31897242 is 24279813.

It is a junction number, because it is equal to n+sod(n) for n = 31897197 and 31897206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63163 + ... + 63665.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 231897242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31897242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).

31897242 is an abundant number, since it is smaller than the sum of its proper divisors (42952806).

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

31897242 is a wasteful number, since it uses less digits than its factorization.

31897242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 792 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 31897242 is about 5647.7643364432. The cubic root of 31897242 is about 317.1400164969.

The spelling of 31897242 in words is "thirty-one million, eight hundred ninety-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 271 503 542 813 1006 1509 1626 2439 3018 3523 4527 4878 6539 7046 9054 10569 13078 19617 21138 31707 39234 58851 63414 117702 136313 272626 408939 817878 1226817 1772069 2453634 3544138 5316207 10632414 15948621 31897242