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4630608 = 2436397
BaseRepresentation
bin10001101010100001010000
322201021000000
4101222201100
52141134413
6243130000
754234213
oct21524120
98637000
104630608
112683054
121673900
13c61908
1488777a
15617073
hex46a850

4630608 has 70 divisors (see below), whose sum is σ = 13485434. Its totient is φ = 1539648.

The previous prime is 4630607. The next prime is 4630643. The reversal of 4630608 is 8060364.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 419904 = 2052^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630601) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11466 + ... + 11862.

Almost surely, 24630608 is an apocalyptic number.

4630608 is a gapful number since it is divisible by the number (48) 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 4630608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742717).

4630608 is an abundant number, since it is smaller than the sum of its proper divisors (8854826).

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

4630608 is an equidigital number, since it uses as much as digits as its factorization.

4630608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4630608 is about 2151.8847552785. The cubic root of 4630608 is about 166.6784062842.

The spelling of 4630608 in words is "four million, six hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 397 432 486 648 729 794 972 1191 1296 1458 1588 1944 2382 2916 3176 3573 3888 4764 5832 6352 7146 9528 10719 11664 14292 19056 21438 28584 32157 42876 57168 64314 85752 96471 128628 171504 192942 257256 289413 385884 514512 578826 771768 1157652 1543536 2315304 4630608