Search a number
-
+
30572928 = 273226539
BaseRepresentation
bin111010010100…
…0000110000000
32010112021011200
41310220012000
530311313203
63011141200
7520602621
oct164500600
963467150
1030572928
1116291991
12a2a4800
1364459b9
1440bba48
152a3d9a3
hex1d28180

30572928 has 48 divisors (see below), whose sum is σ = 87980100. Its totient is φ = 10190592.

The previous prime is 30572909. The next prime is 30572929. The reversal of 30572928 is 82927503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30572892 and 30572901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30572929) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12118 + ... + 14421.

Almost surely, 230572928 is an apocalyptic number.

It is an amenable number.

30572928 is an abundant number, since it is smaller than the sum of its proper divisors (57407172).

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

30572928 is a wasteful number, since it uses less digits than its factorization.

30572928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26559 (or 26544 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30572928 is about 5529.2791573586. The cubic root of 30572928 is about 312.6888134687.

The spelling of 30572928 in words is "thirty million, five hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26539 53078 79617 106156 159234 212312 238851 318468 424624 477702 636936 849248 955404 1273872 1698496 1910808 2547744 3396992 3821616 5095488 7643232 10190976 15286464 30572928