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4629072 = 243723599
BaseRepresentation
bin10001101010001001010000
322201011220010
4101222021100
52141112242
6243114520
754226560
oct21521120
98634803
104629072
112681988
121672a40
13c60cc6
14886da0
1561689c
hex46a250

4629072 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1262976.

The previous prime is 4629059. The next prime is 4629089. The reversal of 4629072 is 2709264.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7429 + ... + 8027.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 24629072 is an apocalyptic number.

4629072 is a gapful number since it is divisible by the number (42) 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 4629072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4629072 is an abundant number, since it is smaller than the sum of its proper divisors (9655728).

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

4629072 is a wasteful number, since it uses less digits than its factorization.

4629072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4629072 is about 2151.5278292414. The cubic root of 4629072 is about 166.6599748424.

The spelling of 4629072 in words is "four million, six hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 599 644 966 1104 1198 1288 1797 1932 2396 2576 3594 3864 4193 4792 7188 7728 8386 9584 12579 13777 14376 16772 25158 27554 28752 33544 41331 50316 55108 67088 82662 96439 100632 110216 165324 192878 201264 220432 289317 330648 385756 578634 661296 771512 1157268 1543024 2314536 4629072