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5532935040 = 273755967
BaseRepresentation
bin1010010011100100…
…11110001110000000
3112021121012020000000
411021302132032000
542312412410130
62313010000000
7254053112643
oct51162361600
915247166000
105532935040
11238a219a96
1210a4b76000
136a23a5879
143a6b8ba5a
15225b28260
hex149c9e380

5532935040 has 512 divisors, whose sum is σ = 20475072000. Its totient is φ = 1428793344.

The previous prime is 5532935029. The next prime is 5532935047. The reversal of 5532935040 is 405392355.

It is a super-2 number, since 2×55329350402 = 61226740313719603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5532934986 and 5532935004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532935047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82581087 + ... + 82581153.

It is an arithmetic number, because the mean of its divisors is an integer number (39990375).

Almost surely, 25532935040 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 5532935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237536000).

5532935040 is an abundant number, since it is smaller than the sum of its proper divisors (14942136960).

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

5532935040 is an frugal number, since it uses more digits than its factorization.

5532935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5532935040 is about 74383.7014405710. The cubic root of 5532935040 is about 1768.6905569388.

The spelling of 5532935040 in words is "five billion, five hundred thirty-two million, nine hundred thirty-five thousand, forty".