Search a number
-
+
5631904824 = 23371313071973
BaseRepresentation
bin1010011111011000…
…00000110000111000
3112112111102102000120
411033230000300320
543013231423244
62330503133240
7256364254410
oct51754006070
915474372016
105631904824
1124300774a7
121112144220
136b9a48480
143b5d91640
1522e677819
hex14fb00c38

5631904824 has 128 divisors (see below), whose sum is σ = 17350986240. Its totient is φ = 1483448832.

The previous prime is 5631904739. The next prime is 5631904841. The reversal of 5631904824 is 4284091365.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853502 + ... + 2855474.

It is an arithmetic number, because the mean of its divisors is an integer number (135554580).

Almost surely, 25631904824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5631904824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675493120).

5631904824 is an abundant number, since it is smaller than the sum of its proper divisors (11719081416).

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

5631904824 is a wasteful number, since it uses less digits than its factorization.

5631904824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3305 counting only the distinct ones).

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

The square root of 5631904824 is about 75046.0180422652. The cubic root of 5631904824 is about 1779.1740501675.

The spelling of 5631904824 in words is "five billion, six hundred thirty-one million, nine hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1307 1973 2184 2614 3921 3946 5228 5919 7842 7892 9149 10456 11838 13811 15684 15784 16991 18298 23676 25649 27447 27622 31368 33982 36596 41433 47352 50973 51298 54894 55244 67964 73192 76947 82866 101946 102596 109788 110488 118937 135928 153894 165732 179543 203892 205192 219576 237874 307788 331464 356811 359086 407784 475748 538629 615576 713622 718172 951496 1077258 1427244 1436344 2154516 2578711 2854488 4309032 5157422 7736133 10314844 15472266 18050977 20629688 30944532 33523243 36101954 54152931 61889064 67046486 72203908 100569729 108305862 134092972 144407816 201139458 216611724 234662701 268185944 402278916 433223448 469325402 703988103 804557832 938650804 1407976206 1877301608 2815952412 5631904824