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4485921840 = 2432523299341
BaseRepresentation
bin1000010110110000…
…11011110000110000
3102120122001102220100
410023120123300300
533141343444330
62021044512400
7216110464221
oct41330336060
912518042810
104485921840
1119a2205524
12a523ab700
135664b792a
14307ac3248
151b3c5c060
hex10b61bc30

4485921840 has 240 divisors, whose sum is σ = 16264048320. Its totient is φ = 1104660480.

The previous prime is 4485921779. The next prime is 4485921851. The reversal of 4485921840 is 481295844.

4485921840 is a `hidden beast` number, since 4 + 4 + 8 + 592 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475570 + ... + 484910.

It is an arithmetic number, because the mean of its divisors is an integer number (67766868).

Almost surely, 24485921840 is an apocalyptic number.

4485921840 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 4485921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132024160).

4485921840 is an abundant number, since it is smaller than the sum of its proper divisors (11778126480).

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

4485921840 is a wasteful number, since it uses less digits than its factorization.

4485921840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4485921840 is about 66977.0247174358. The cubic root of 4485921840 is about 1649.2401570248.

The spelling of 4485921840 in words is "four billion, four hundred eighty-five million, nine hundred twenty-one thousand, eight hundred forty".