Search a number
-
+
9428400124 = 221113178211181
BaseRepresentation
bin10001100011111100…
…11111011111111100
3220100002012100111121
420301332133133330
5123302132300444
64155323200324
7452434036003
oct106176373774
926302170447
109428400124
113aa90a4620
1219b16760a4
13b734565b0
1465628dc3a
153a2b00084
hex231f9f7fc

9428400124 has 96 divisors (see below), whose sum is σ = 20566913472. Its totient is φ = 3715584000.

The previous prime is 9428400101. The next prime is 9428400133. The reversal of 9428400124 is 4210048249.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 9428400124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7982814 + ... + 7983994.

It is an arithmetic number, because the mean of its divisors is an integer number (214238682).

Almost surely, 29428400124 is an apocalyptic number.

It is an amenable number.

9428400124 is an abundant number, since it is smaller than the sum of its proper divisors (11138513348).

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

9428400124 is a wasteful number, since it uses less digits than its factorization.

9428400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 9428400124 is about 97099.9491451978. The cubic root of 9428400124 is about 2112.5775888966.

The spelling of 9428400124 in words is "nine billion, four hundred twenty-eight million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 748 821 884 1181 1642 2362 2431 3284 4724 4862 9031 9724 10673 12991 13957 15353 18062 20077 21346 25982 27914 30706 36124 40154 42692 51964 55828 61412 80308 117403 153527 168883 181441 220847 234806 261001 307054 337766 362882 441694 469612 522002 614108 675532 725764 883388 969601 1044004 1939202 1995851 2871011 3878404 3991702 5742022 7983404 10665611 11484044 12604813 16483217 21331222 25209626 32966434 42662444 50419252 65932868 138652943 181315387 214281821 277305886 362630774 428563642 554611772 725261548 857127284 2357100031 4714200062 9428400124