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423578880 = 2832583443
BaseRepresentation
bin11001001111110…
…100110100000000
31002112001000222200
4121033310310000
51331414011010
6110010433200
713332234564
oct3117646400
91075030880
10423578880
111a811009a
12b9a32800
13699a89ba
14403816a4
15272becc0
hex193f4d00

423578880 has 216 divisors, whose sum is σ = 1486543968. Its totient is φ = 111341568.

The previous prime is 423578861. The next prime is 423578933. The reversal of 423578880 is 88875324.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 955939 + ... + 956381.

It is an arithmetic number, because the mean of its divisors is an integer number (6882148).

Almost surely, 2423578880 is an apocalyptic number.

423578880 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 423578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743271984).

423578880 is an abundant number, since it is smaller than the sum of its proper divisors (1062965088).

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

423578880 is a wasteful number, since it uses less digits than its factorization.

423578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 423578880 is about 20581.0320440934. The cubic root of 423578880 is about 751.0083503652.

The spelling of 423578880 in words is "four hundred twenty-three million, five hundred seventy-eight thousand, eight hundred eighty".