Search a number
-
+
46459980 = 22345717241
BaseRepresentation
bin1011000100111…
…0110001001100
310020102102010000
42301032301030
543343204410
64335444300
71102621560
oct261166114
9106372100
1046459980
1124253086
1213686690
139819018
1462556a0
15412adc0
hex2c4ec4c

46459980 has 240 divisors, whose sum is σ = 177097536. Its totient is φ = 9953280.

The previous prime is 46459961. The next prime is 46459981. The reversal of 46459980 is 8995464.

It is a happy number.

46459980 is a nontrivial binomial coefficient, being equal to C(9640, 2).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46459981) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192660 + ... + 192900.

Almost surely, 246459980 is an apocalyptic number.

46459980 is the 9639-th triangular number and also the 4820-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46459980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88548768).

46459980 is an abundant number, since it is smaller than the sum of its proper divisors (130637556).

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

46459980 is a wasteful number, since it uses less digits than its factorization.

46459980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 46459980 is about 6816.1558080783. The cubic root of 46459980 is about 359.4951256139.

The spelling of 46459980 in words is "forty-six million, four hundred fifty-nine thousand, nine hundred eighty".