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4648056 = 233773379
BaseRepresentation
bin10001101110110001111000
322202010221020
4101232301320
52142214211
6243342440
754336120
oct21566170
98663836
104648056
112695176
121681a20
13c6983a
1488dc80
1561c306
hex46ec78

4648056 has 64 divisors (see below), whose sum is σ = 13497600. Its totient is φ = 1306368.

The previous prime is 4648037. The next prime is 4648067. The reversal of 4648056 is 6508464.

It is a happy number.

4648056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 12075 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (210900).

Almost surely, 24648056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4648056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748800).

4648056 is an abundant number, since it is smaller than the sum of its proper divisors (8849544).

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

4648056 is a wasteful number, since it uses less digits than its factorization.

4648056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4648056 is about 2155.9350639572. The cubic root of 4648056 is about 166.8874904032.

Adding to 4648056 its product of nonzero digits (23040), we get a triangular number (4671096 = T3056).

The spelling of 4648056 in words is "four million, six hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 379 438 511 584 758 876 1022 1137 1516 1533 1752 2044 2274 2653 3032 3066 4088 4548 5306 6132 7959 9096 10612 12264 15918 21224 27667 31836 55334 63672 83001 110668 166002 193669 221336 332004 387338 581007 664008 774676 1162014 1549352 2324028 4648056