Search a number
-
+
4546909440 = 283254367137
BaseRepresentation
bin1000011110000010…
…00101010100000000
3102201212210221011100
410033001011110000
533303002100230
62031104014400
7220451043513
oct41701052400
912655727140
104546909440
111a236803a7
12a6a901400
1357601c278
14311c3ad7a
151b92a7660
hex10f045500

4546909440 has 432 divisors, whose sum is σ = 16457208768. Its totient is φ = 1158119424.

The previous prime is 4546909429. The next prime is 4546909441. The reversal of 4546909440 is 449096454.

It is a super-2 number, since 2×45469094402 = 41348770911122227200, 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 (4546909441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33189052 + ... + 33189188.

Almost surely, 24546909440 is an apocalyptic number.

4546909440 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 4546909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228604384).

4546909440 is an abundant number, since it is smaller than the sum of its proper divisors (11910299328).

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

4546909440 is a wasteful number, since it uses less digits than its factorization.

4546909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4546909440 is about 67430.7751697991. The cubic root of 4546909440 is about 1656.6805296533.

The spelling of 4546909440 in words is "four billion, five hundred forty-six million, nine hundred nine thousand, four hundred forty".