Search a number
-
+
4146436 = 2271731281
BaseRepresentation
bin1111110100010100000100
321210122211201
433310110010
52030141221
6224512244
750146510
oct17642404
97718751
104146436
112382308
12147b684
13b22418
1479d140
1556d891
hex3f4504

4146436 has 48 divisors (see below), whose sum is σ = 9096192. Its totient is φ = 1612800.

The previous prime is 4146409. The next prime is 4146451. The reversal of 4146436 is 6346414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 14616 + ... + 14896.

It is an arithmetic number, because the mean of its divisors is an integer number (189504).

Almost surely, 24146436 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 4146436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548096).

4146436 is an abundant number, since it is smaller than the sum of its proper divisors (4949756).

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

4146436 is a wasteful number, since it uses less digits than its factorization.

4146436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4146436 is about 2036.2799414619. The cubic root of 4146436 is about 160.6540415424.

The spelling of 4146436 in words is "four million, one hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 281 434 476 527 562 868 1054 1124 1967 2108 3689 3934 4777 7378 7868 8711 9554 14756 17422 19108 33439 34844 60977 66878 121954 133756 148087 243908 296174 592348 1036609 2073218 4146436