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5033872040 = 235178983177
BaseRepresentation
bin1001011000000101…
…01100101010101000
3110222211010012021012
410230002230222220
540302132401130
62151301203052
7235513130531
oct45402545250
913884105235
105033872040
11215354262a
12b85a00488
13622b8b112
1435a79b688
151e6de7995
hex12c0acaa8

5033872040 has 64 divisors (see below), whose sum is σ = 12127352400. Its totient is φ = 1873788928.

The previous prime is 5033871959. The next prime is 5033872043. The reversal of 5033872040 is 402783305.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2188929796 + 2844942244 = 46786^2 + 53338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5033871988 and 5033872006.

It is not an unprimeable number, because it can be changed into a prime (5033872043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18932 + ... + 102108.

Almost surely, 25033872040 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 5033872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063676200).

5033872040 is an abundant number, since it is smaller than the sum of its proper divisors (7093480360).

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

5033872040 is a wasteful number, since it uses less digits than its factorization.

5033872040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83294 (or 83290 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 5033872040 is about 70949.7853414653. The cubic root of 5033872040 is about 1713.8286181177.

The spelling of 5033872040 in words is "five billion, thirty-three million, eight hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 445 680 712 890 1513 1780 3026 3560 6052 7565 12104 15130 30260 60520 83177 166354 332708 415885 665416 831770 1414009 1663540 2828018 3327080 5656036 7070045 7402753 11312072 14140090 14805506 28280180 29611012 37013765 56560360 59222024 74027530 125846801 148055060 251693602 296110120 503387204 629234005 1006774408 1258468010 2516936020 5033872040