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5417274240 = 2732572941113
BaseRepresentation
bin1010000101110010…
…10000101110000000
3111222112120001012200
411002321100232000
542043310233430
62253314553200
7251150033310
oct50271205600
914875501180
105417274240
11232aa01354
121072298800
1368443aa21
14395681440
1521a8cd460
hex142e50b80

5417274240 has 768 divisors, whose sum is σ = 22855996800. Its totient is φ = 1156055040.

The previous prime is 5417274223. The next prime is 5417274241. The reversal of 5417274240 is 424727145.

5417274240 is a `hidden beast` number, since 541 + 7 + 2 + 74 + 2 + 40 = 666.

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 = 5417274195 and 5417274204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417274241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47940424 + ... + 47940536.

Almost surely, 25417274240 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 5417274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427998400).

5417274240 is an abundant number, since it is smaller than the sum of its proper divisors (17438722560).

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

5417274240 is a wasteful number, since it uses less digits than its factorization.

5417274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5417274240 is about 73602.1347516497. The cubic root of 5417274240 is about 1756.2793992284.

The spelling of 5417274240 in words is "five billion, four hundred seventeen million, two hundred seventy-four thousand, two hundred forty".