Search a number
-
+
45000684 = 223567691
BaseRepresentation
bin1010101110101…
…0011111101100
310010200021100000
42223222133230
543010010214
64244304300
71054333221
oct253523754
9103607300
1045000684
1123446753
12130a2090
139427a31
145d95948
153e3d809
hex2aea7ec

45000684 has 72 divisors (see below), whose sum is σ = 119898688. Its totient is φ = 14754960.

The previous prime is 45000629. The next prime is 45000689. The reversal of 45000684 is 48600054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45000689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64779 + ... + 65469.

Almost surely, 245000684 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 45000684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59949344).

45000684 is an abundant number, since it is smaller than the sum of its proper divisors (74898004).

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

45000684 is a wasteful number, since it uses less digits than its factorization.

45000684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45000684 is about 6708.2549146555. The cubic root of 45000684 is about 355.6911325991.

The spelling of 45000684 in words is "forty-five million, six hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 691 804 972 1206 1382 1809 2073 2412 2764 3618 4146 5427 6219 7236 8292 10854 12438 16281 18657 21708 24876 32562 37314 46297 55971 65124 74628 92594 111942 138891 167913 185188 223884 277782 335826 416673 555564 671652 833346 1250019 1666692 2500038 3750057 5000076 7500114 11250171 15000228 22500342 45000684