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46152090 = 23251932657
BaseRepresentation
bin1011000000001…
…1100110011010
310012211202202200
42300003212122
543303331330
64325111030
71100200125
oct260034632
9105752680
1046152090
1124062826
1213558476
13973bb3a
1461b53bc
1540b9a60
hex2c0399a

46152090 has 48 divisors (see below), whose sum is σ = 120662568. Its totient is φ = 12238848.

The previous prime is 46152023. The next prime is 46152091. The reversal of 46152090 is 9025164.

It can be written as a sum of positive squares in 4 ways, for example, as 34680321 + 11471769 = 5889^2 + 3387^2 .

It is a super-2 number, since 2×461520902 = 4260030822736200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46152091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16042 + ... + 18698.

Almost surely, 246152090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46152090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60331284).

46152090 is an abundant number, since it is smaller than the sum of its proper divisors (74510478).

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

46152090 is a wasteful number, since it uses less digits than its factorization.

46152090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 46152090 is about 6793.5329542146. The cubic root of 46152090 is about 358.6992409175.

The spelling of 46152090 in words is "forty-six million, one hundred fifty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2657 2895 3474 5314 5790 7971 8685 13285 15942 17370 23913 26570 39855 47826 79710 119565 239130 512801 1025602 1538403 2564005 3076806 4615209 5128010 7692015 9230418 15384030 23076045 46152090