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5024298240 = 283351353211
BaseRepresentation
bin1001010110111100…
…01011010100000000
3110222011002210111000
410223132023110000
540242210020430
62150320052000
7235335554553
oct45336132400
913864083430
105024298240
1121490a36a5
12b82764000
13620bb8550
143593c869a
151e6155e60
hex12b78b500

5024298240 has 576 divisors, whose sum is σ = 19655758080. Its totient is φ = 1207664640.

The previous prime is 5024298239. The next prime is 5024298241. The reversal of 5024298240 is 428924205.

5024298240 is a `hidden beast` number, since 502 + 42 + 98 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5024298239) and next prime (5024298241).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 5024298195 and 5024298204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5024298241) 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, 23811735 + ... + 23811945.

It is an arithmetic number, because the mean of its divisors is an integer number (34124580).

Almost surely, 25024298240 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 5024298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827879040).

5024298240 is an abundant number, since it is smaller than the sum of its proper divisors (14631459840).

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

5024298240 is a wasteful number, since it uses less digits than its factorization.

5024298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5024298240 is about 70882.2843875675. The cubic root of 5024298240 is about 1712.7414321372.

The spelling of 5024298240 in words is "five billion, twenty-four million, two hundred ninety-eight thousand, two hundred forty".