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4625104 = 241122389
BaseRepresentation
bin10001101001001011010000
322200222110011
4101221023100
52141000404
6243044304
754212161
oct21511320
98628404
104625104
112679a00
121670694
13c5c263
14885768
15615604
hex4692d0

4625104 has 30 divisors (see below), whose sum is σ = 9853970. Its totient is φ = 2101440.

The previous prime is 4625059. The next prime is 4625119. The reversal of 4625104 is 4015264.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 1210000 = 1848^2 + 1100^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 742 + ... + 3130.

Almost surely, 24625104 is an apocalyptic number.

4625104 is a gapful number since it is divisible by the number (44) 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 4625104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926985).

4625104 is an abundant number, since it is smaller than the sum of its proper divisors (5228866).

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

4625104 is a wasteful number, since it uses less digits than its factorization.

4625104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4625104 is about 2150.6054961336. The cubic root of 4625104 is about 166.6123414056.

The spelling of 4625104 in words is "four million, six hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2389 4778 9556 19112 26279 38224 52558 105116 210232 289069 420464 578138 1156276 2312552 4625104