Search a number
-
+
5641461924 = 2237217835381
BaseRepresentation
bin1010100000100000…
…11110000010100100
3112120011101221220020
411100100132002210
543023203240144
62331444035140
7256541430600
oct52020360244
915504357806
105641461924
11243550492a
121115392ab0
136bba13567
143b735c500
15230414419
hex15041e0a4

5641461924 has 72 divisors (see below), whose sum is σ = 15323974848. Its totient is φ = 1610642880.

The previous prime is 5641461853. The next prime is 5641461949. The reversal of 5641461924 is 4291641465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045714 + ... + 1051094.

It is an arithmetic number, because the mean of its divisors is an integer number (212832984).

Almost surely, 25641461924 is an apocalyptic number.

It is an amenable number.

5641461924 is an abundant number, since it is smaller than the sum of its proper divisors (9682512924).

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

5641461924 is a wasteful number, since it uses less digits than its factorization.

5641461924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7185 (or 7176 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 5641461924 is about 75109.6659824819. The cubic root of 5641461924 is about 1780.1798753543.

It can be divided in two parts, 564 and 1461924, that multiplied together give a triangular number (824525136 = T40608).

The spelling of 5641461924 in words is "five billion, six hundred forty-one million, four hundred sixty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1783 3566 5349 5381 7132 10698 10762 12481 16143 21396 21524 24962 32286 37443 37667 49924 64572 74886 75334 87367 113001 149772 150668 174734 226002 262101 263669 349468 452004 524202 527338 791007 1048404 1054676 1582014 3164028 9594323 19188646 28782969 38377292 57565938 67160261 115131876 134320522 201480783 268641044 402961566 470121827 805923132 940243654 1410365481 1880487308 2820730962 5641461924