Search a number
-
+
65603628 = 22331274783
BaseRepresentation
bin1111101001000…
…0100000101100
311120110000021000
43322100200230
5113243304003
610302040300
71424423136
oct372204054
9146400230
1065603628
1134038a82
1219b79090
131078c71c
1489da056
155b5d1a3
hex3e9082c

65603628 has 48 divisors (see below), whose sum is σ = 171458560. Its totient is φ = 21691152.

The previous prime is 65603623. The next prime is 65603651. The reversal of 65603628 is 82630656.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65603592 and 65603601.

It is not an unprimeable number, because it can be changed into a prime (65603623) 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 15 ways as a sum of consecutive naturals, for example, 11325 + ... + 16107.

Almost surely, 265603628 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 65603628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85729280).

65603628 is an abundant number, since it is smaller than the sum of its proper divisors (105854932).

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

65603628 is a wasteful number, since it uses less digits than its factorization.

65603628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 65603628 is about 8099.6066571161. The cubic root of 65603628 is about 403.3133698351.

The spelling of 65603628 in words is "sixty-five million, six hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 4783 6858 9566 13716 14349 19132 28698 43047 57396 86094 129141 172188 258282 516564 607441 1214882 1822323 2429764 3644646 5466969 7289292 10933938 16400907 21867876 32801814 65603628