Search a number
-
+
4553936640 = 28355114
BaseRepresentation
bin1000011110110111…
…11000111100000000
3102202101000221200000
410033123320330000
533311301433030
62031514400000
7220564552131
oct41733707400
912671027600
104553936640
111a27640000
12a71130000
1357760c986
14312b49c88
151b9be4860
hex10f6f8f00

4553936640 has 540 divisors, whose sum is σ = 17973566520. Its totient is φ = 1103984640.

The previous prime is 4553936573. The next prime is 4553936641. The reversal of 4553936640 is 466393554.

4553936640 is a `hidden beast` number, since 4 + 553 + 9 + 36 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×45539366402 = 41476677842268979200, which contains 22 as substring.

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 (4553936641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 413994235 + ... + 413994245.

Almost surely, 24553936640 is an apocalyptic number.

4553936640 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 4553936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986783260).

4553936640 is an abundant number, since it is smaller than the sum of its proper divisors (13419629880).

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

4553936640 is an frugal number, since it uses more digits than its factorization.

4553936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 4553936640 is about 67482.8618243180. The cubic root of 4553936640 is about 1657.5335510499.

The spelling of 4553936640 in words is "four billion, five hundred fifty-three million, nine hundred thirty-six thousand, six hundred forty".