Search a number
-
+
30542976 = 273226513
BaseRepresentation
bin111010010000…
…0110010000000
32010110202002100
41310200302000
530304333401
63010350400
7520416402
oct164406200
963422070
1030542976
1116271432
12a28b400
136435189
1440b0b72
152a34b86
hex1d20c80

30542976 has 48 divisors (see below), whose sum is σ = 87893910. Its totient is φ = 10180608.

The previous prime is 30542971. The next prime is 30542983. The reversal of 30542976 is 67924503.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 1382976 = 5400^2 + 1176^2 .

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 self number, because there is not a number n which added to its sum of digits gives 30542976.

It is not an unprimeable number, because it can be changed into a prime (30542971) 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, 12105 + ... + 14408.

Almost surely, 230542976 is an apocalyptic number.

30542976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30542976 is an abundant number, since it is smaller than the sum of its proper divisors (57350934).

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

30542976 is a wasteful number, since it uses less digits than its factorization.

30542976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26533 (or 26518 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 30542976 is about 5526.5700031756. The cubic root of 30542976 is about 312.5866673752.

The spelling of 30542976 in words is "thirty million, five hundred forty-two thousand, nine hundred seventy-six".

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 26513 53026 79539 106052 159078 212104 238617 318156 424208 477234 636312 848416 954468 1272624 1696832 1908936 2545248 3393664 3817872 5090496 7635744 10180992 15271488 30542976