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4645920 = 25359679
BaseRepresentation
bin10001101110010000100000
322202001000010
4101232100200
52142132140
6243324520
754326646
oct21562040
98661003
104645920
112693604
121680740
13c68886
1488d196
1561b880
hex46e420

4645920 has 48 divisors (see below), whose sum is σ = 14636160. Its totient is φ = 1238784.

The previous prime is 4645919. The next prime is 4645933. The reversal of 4645920 is 295464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4360 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 24645920 is an apocalyptic number.

4645920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4645920 is an abundant number, since it is smaller than the sum of its proper divisors (9990240).

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

4645920 is a wasteful number, since it uses less digits than its factorization.

4645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4645920 is about 2155.4396303307. The cubic root of 4645920 is about 166.8619222733.

It can be divided in two parts, 4645 and 920, that added together give a triangular number (5565 = T105).

The spelling of 4645920 in words is "four million, six hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 9679 19358 29037 38716 48395 58074 77432 96790 116148 145185 154864 193580 232296 290370 309728 387160 464592 580740 774320 929184 1161480 1548640 2322960 4645920