Search a number
-
+
46055100 = 223527213241
BaseRepresentation
bin1010111110101…
…1111010111100
310012122211201110
42233223322330
543242230400
64323042020
71066314300
oct257537274
9105584643
1046055100
1123aa6973
1213510310
139706950
14618bd00
15409ae50
hex2bebebc

46055100 has 216 divisors, whose sum is σ = 167624688. Its totient is φ = 9676800.

The previous prime is 46055083. The next prime is 46055101. The reversal of 46055100 is 155064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46055101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190980 + ... + 191220.

Almost surely, 246055100 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 46055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83812344).

46055100 is an abundant number, since it is smaller than the sum of its proper divisors (121569588).

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

46055100 is a wasteful number, since it uses less digits than its factorization.

46055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 46055100 is about 6786.3907933452. The cubic root of 46055100 is about 358.4477922920.

The spelling of 46055100 in words is "forty-six million, fifty-five thousand, one hundred".