Search a number
-
+
30873792 = 2634012
BaseRepresentation
bin111010111000…
…1100011000000
32011002112212210
41311301203000
530400430132
63021422120
7523265025
oct165614300
964075783
1030873792
1116477a34
12a40a940
13651c921
14415954c
152a9cbcc
hex1d718c0

30873792 has 42 divisors (see below), whose sum is σ = 81891124. Its totient is φ = 10265600.

The previous prime is 30873769. The next prime is 30873793. The reversal of 30873792 is 29737803.

It is a self number, because there is not a number n which added to its sum of digits gives 30873792.

It is not an unprimeable number, because it can be changed into a prime (30873793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76792 + ... + 77192.

Almost surely, 230873792 is an apocalyptic number.

30873792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40945562).

30873792 is an abundant number, since it is smaller than the sum of its proper divisors (51017332).

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

30873792 is an frugal number, since it uses more digits than its factorization.

30873792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 30873792 is about 5556.4189906810. The cubic root of 30873792 is about 313.7111763943.

The spelling of 30873792 in words is "thirty million, eight hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 401 802 1203 1604 2406 3208 4812 6416 9624 12832 19248 25664 38496 76992 160801 321602 482403 643204 964806 1286408 1929612 2572816 3859224 5145632 7718448 10291264 15436896 30873792