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4245376320 = 263355373127
BaseRepresentation
bin1111110100001011…
…0100110101000000
3101221212102110111000
43331002310311000
532143304020240
61541133052000
7210130050303
oct37502646500
911855373430
104245376320
11188944a079
129a5927000
135287056c3
142c3b88b3a
1519ca94430
hexfd0b4d40

4245376320 has 448 divisors, whose sum is σ = 15590154240. Its totient is φ = 1086898176.

The previous prime is 4245376319. The next prime is 4245376349. The reversal of 4245376320 is 236735424.

4245376320 is a `hidden beast` number, since 42 + 4 + 537 + 63 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33428097 + ... + 33428223.

Almost surely, 24245376320 is an apocalyptic number.

4245376320 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 4245376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795077120).

4245376320 is an abundant number, since it is smaller than the sum of its proper divisors (11344777920).

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

4245376320 is a wasteful number, since it uses less digits than its factorization.

4245376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4245376320 is about 65156.5523949817. The cubic root of 4245376320 is about 1619.2182785383.

The spelling of 4245376320 in words is "four billion, two hundred forty-five million, three hundred seventy-six thousand, three hundred twenty".