Search a number
-
+
30048216 = 23311113819
BaseRepresentation
bin111001010011…
…1111111011000
32002112121101220
41302213333120
530143020331
62552012040
7513256062
oct162477730
962477356
1030048216
1115a63740
12a091020
1362c0c13
143dc2732
152988296
hex1ca7fd8

30048216 has 32 divisors (see below), whose sum is σ = 81950400. Its totient is φ = 9105440.

The previous prime is 30048211. The next prime is 30048223. The reversal of 30048216 is 61284003.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30048211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56646 + ... + 57173.

It is an arithmetic number, because the mean of its divisors is an integer number (2560950).

Almost surely, 230048216 is an apocalyptic number.

It is an amenable number.

30048216 is an abundant number, since it is smaller than the sum of its proper divisors (51902184).

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

30048216 is a wasteful number, since it uses less digits than its factorization.

30048216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113839 (or 113835 counting only the distinct ones).

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

The square root of 30048216 is about 5481.6253064214. The cubic root of 30048216 is about 310.8896262970.

It can be divided in two parts, 300 and 48216, that added together give a triangular number (48516 = T311).

The spelling of 30048216 in words is "thirty million, forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 113819 227638 341457 455276 682914 910552 1252009 1365828 2504018 2731656 3756027 5008036 7512054 10016072 15024108 30048216