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5036945440 = 255179397443
BaseRepresentation
bin1001011000011100…
…11011000000100000
3111000000220100011211
410230032123000200
540303424223230
62151451115504
7235551221062
oct45416330040
914000810154
105036945440
11215525172a
12b86a42b94
136236c5cb7
1435ad5b732
151e730342a
hex12c39b020

5036945440 has 96 divisors (see below), whose sum is σ = 12023484480. Its totient is φ = 1993964544.

The previous prime is 5036945423. The next prime is 5036945483. The reversal of 5036945440 is 445496305.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5036945393 and 5036945402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11369859 + ... + 11370301.

It is an arithmetic number, because the mean of its divisors is an integer number (125244630).

Almost surely, 25036945440 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 5036945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011742240).

5036945440 is an abundant number, since it is smaller than the sum of its proper divisors (6986539040).

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

5036945440 is a wasteful number, since it uses less digits than its factorization.

5036945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 5036945440 is about 70971.4410167921. The cubic root of 5036945440 is about 1714.1773363760.

The spelling of 5036945440 in words is "five billion, thirty-six million, nine hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 397 443 716 794 886 895 1432 1588 1772 1790 1985 2215 2864 3176 3544 3580 3970 4430 5728 6352 7088 7160 7940 8860 12704 14176 14320 15880 17720 28640 31760 35440 63520 70880 71063 79297 142126 158594 175871 284252 317188 351742 355315 396485 568504 634376 703484 710630 792970 879355 1137008 1268752 1406968 1421260 1585940 1758710 2274016 2537504 2813936 2842520 3171880 3517420 5627872 5685040 6343760 7034840 11370080 12687520 14069680 28139360 31480909 62961818 125923636 157404545 251847272 314809090 503694544 629618180 1007389088 1259236360 2518472720 5036945440