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4572348480 = 2633571923173
BaseRepresentation
bin1000100001000100…
…01000000001000000
3102210122200100222000
410100202020001000
533331010122410
62033413144000
7221210215020
oct42042100100
912718610860
104572348480
111a36a760a7
12a7732b000
1357b38825b
1431537da80
151bb62edc0
hex110888040

4572348480 has 896 divisors, whose sum is σ = 20365516800. Its totient is φ = 941580288.

The previous prime is 4572348479. The next prime is 4572348551. The reversal of 4572348480 is 848432754.

It is a happy number.

4572348480 is a `hidden beast` number, since 4 + 572 + 34 + 8 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26429674 + ... + 26429846.

Almost surely, 24572348480 is an apocalyptic number.

4572348480 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 4572348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10182758400).

4572348480 is an abundant number, since it is smaller than the sum of its proper divisors (15793168320).

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

4572348480 is a wasteful number, since it uses less digits than its factorization.

4572348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4572348480 is about 67619.1428517103. The cubic root of 4572348480 is about 1659.7643832616.

The spelling of 4572348480 in words is "four billion, five hundred seventy-two million, three hundred forty-eight thousand, four hundred eighty".