Search a number
-
+
30624938448 = 2431389551443
BaseRepresentation
bin11100100001011000…
…110111100111010000
32221001022020001202120
4130201120313213100
51000204441012243
622022514414240
72132625452556
oct344130674720
987038201676
1030624938448
1111a95a85595
125b28291380
132b709b2b70
1416a7443bd6
15be3920c83
hex7216379d0

30624938448 has 80 divisors (see below), whose sum is σ = 86157610560. Its totient is φ = 9317164032.

The previous prime is 30624938447. The next prime is 30624938459. The reversal of 30624938448 is 84483942603.

It is a self number, because there is not a number n which added to its sum of digits gives 30624938448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30624938447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220186 + ... + 331257.

It is an arithmetic number, because the mean of its divisors is an integer number (1076970132).

Almost surely, 230624938448 is an apocalyptic number.

It is an amenable number.

30624938448 is an abundant number, since it is smaller than the sum of its proper divisors (55532672112).

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

30624938448 is a wasteful number, since it uses less digits than its factorization.

30624938448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551556 (or 551550 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 30624938448 in words is "thirty billion, six hundred twenty-four million, nine hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 3471 4272 4628 6942 9256 13884 18512 27768 55536 551443 1102886 1654329 2205772 3308658 4411544 6617316 7168759 8823088 13234632 14337518 21506277 26469264 28675036 43012554 49078427 57350072 86025108 98156854 114700144 147235281 172050216 196313708 294470562 344100432 392627416 588941124 638019551 785254832 1177882248 1276039102 1914058653 2355764496 2552078204 3828117306 5104156408 7656234612 10208312816 15312469224 30624938448