Search a number
-
+
4146464 = 257107173
BaseRepresentation
bin1111110100010100100000
321210122212202
433310110200
52030141324
6224512332
750146550
oct17642440
97718782
104146464
112382333
12147b6a8
13b2243a
1479d160
1556d8ae
hex3f4520

4146464 has 48 divisors (see below), whose sum is σ = 9471168. Its totient is φ = 1750272.

The previous prime is 4146451. The next prime is 4146497. The reversal of 4146464 is 4646414.

4146464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 23882 + ... + 24054.

It is an arithmetic number, because the mean of its divisors is an integer number (197316).

Almost surely, 24146464 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 4146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735584).

4146464 is an abundant number, since it is smaller than the sum of its proper divisors (5324704).

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

4146464 is a wasteful number, since it uses less digits than its factorization.

4146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 4146464 is about 2036.2868167328. The cubic root of 4146464 is about 160.6544031625.

The spelling of 4146464 in words is "four million, one hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 173 214 224 346 428 692 749 856 1211 1384 1498 1712 2422 2768 2996 3424 4844 5536 5992 9688 11984 18511 19376 23968 37022 38752 74044 129577 148088 259154 296176 518308 592352 1036616 2073232 4146464