Search a number
-
+
45242515040 = 255737735011
BaseRepresentation
bin101010001000101010…
…011111111001100000
311022210000202220011012
4222020222133321200
51220124040440130
632441212040052
73161103014132
oct521052377140
9138700686135
1045242515040
11182072471a8
128927763028
134360232978
14229295b052
15129bd94995
hexa88a9fe60

45242515040 has 96 divisors (see below), whose sum is σ = 108511443936. Its totient is φ = 17822453760.

The previous prime is 45242515013. The next prime is 45242515061. The reversal of 45242515040 is 4051524254.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 45242514988 and 45242515006.

It is a congruent number.

It is an unprimeable number.

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, 9026135 + ... + 9031145.

It is an arithmetic number, because the mean of its divisors is an integer number (1130327541).

Almost surely, 245242515040 is an apocalyptic number.

45242515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45242515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54255721968).

45242515040 is an abundant number, since it is smaller than the sum of its proper divisors (63268928896).

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

45242515040 is a wasteful number, since it uses less digits than its factorization.

45242515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 45242515040 in words is "forty-five billion, two hundred forty-two million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 773 1168 1460 1546 2336 2920 3092 3865 5011 5840 6184 7730 10022 11680 12368 15460 20044 24736 25055 30920 40088 50110 56429 61840 80176 100220 112858 123680 160352 200440 225716 282145 365803 400880 451432 564290 731606 801760 902864 1128580 1463212 1805728 1829015 2257160 2926424 3658030 3873503 4514320 5852848 7316060 7747006 9028640 11705696 14632120 15494012 19367515 29264240 30988024 38735030 58528480 61976048 77470060 123952096 154940120 282765719 309880240 565531438 619760480 1131062876 1413828595 2262125752 2827657190 4524251504 5655314380 9048503008 11310628760 22621257520 45242515040