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4375952640 = 28335127997
BaseRepresentation
bin1000001001101001…
…11011110100000000
3102021222010102112000
410010310323310000
532430220441030
62002115504000
7213303661263
oct40464736400
912258112460
104375952640
111946124a94
12a215b8000
135497935b7
142d7258cda
151a9288860
hex104d3bd00

4375952640 has 288 divisors, whose sum is σ = 15666524160. Its totient is φ = 1156571136.

The previous prime is 4375952587. The next prime is 4375952641. The reversal of 4375952640 is 462595734.

4375952640 is a `hidden beast` number, since 4 + 37 + 59 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4375952641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388622 + ... + 4389618.

Almost surely, 24375952640 is an apocalyptic number.

4375952640 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 4375952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833262080).

4375952640 is an abundant number, since it is smaller than the sum of its proper divisors (11290571520).

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

4375952640 is a wasteful number, since it uses less digits than its factorization.

4375952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4375952640 is about 66150.9836661557. The cubic root of 4375952640 is about 1635.6518569023.

The spelling of 4375952640 in words is "four billion, three hundred seventy-five million, nine hundred fifty-two thousand, six hundred forty".