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46106216 = 2313736073
BaseRepresentation
bin1010111111100…
…0011001101000
310012202102211122
42233320121220
543300344331
64324114412
71066616312
oct257703150
9105672748
1046106216
1124031312
1213535a08
139723cb0
1461a27b2
1540ab17b
hex2bf8668

46106216 has 32 divisors (see below), whose sum is σ = 94389960. Its totient is φ = 20984832.

The previous prime is 46106213. The next prime is 46106219. The reversal of 46106216 is 61260164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46106213) and next prime (46106219).

It can be written as a sum of positive squares in 4 ways, for example, as 41654116 + 4452100 = 6454^2 + 2110^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (46106213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4556 + ... + 10628.

Almost surely, 246106216 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 46106216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47194980).

46106216 is an abundant number, since it is smaller than the sum of its proper divisors (48283744).

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

46106216 is a wasteful number, since it uses less digits than its factorization.

46106216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 46106216 is about 6790.1558155907. The cubic root of 46106216 is about 358.5803555544.

The spelling of 46106216 in words is "forty-six million, one hundred six thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 3796 6073 7592 12146 24292 48584 78949 157898 315796 443329 631592 886658 1773316 3546632 5763277 11526554 23053108 46106216