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4693920 = 2535711127
BaseRepresentation
bin10001111001111110100000
322211110211220
4101321332200
52200201140
6244335040
754616620
oct21717640
98743756
104693920
112716680
1216a4480
13c8468a
148a2880
1562abd0
hex479fa0

4693920 has 192 divisors, whose sum is σ = 18579456. Its totient is φ = 967680.

The previous prime is 4693903. The next prime is 4693933. The reversal of 4693920 is 293964.

4693920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36897 + ... + 37023.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

Almost surely, 24693920 is an apocalyptic number.

4693920 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 4693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289728).

4693920 is an abundant number, since it is smaller than the sum of its proper divisors (13885536).

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

4693920 is a wasteful number, since it uses less digits than its factorization.

4693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4693920 is about 2166.5456376453. The cubic root of 4693920 is about 167.4346072798.

The spelling of 4693920 in words is "four million, six hundred ninety-three thousand, nine hundred twenty".