Search a number
-
+
64146492 = 2234296827
BaseRepresentation
bin1111010010110…
…0110000111100
311110200222110000
43310230300330
5112410141432
610210514300
71406144004
oct364546074
9143628400
1064146492
1133233233
1219595990
131039c407
14873b004
15597157c
hex3d2cc3c

64146492 has 60 divisors (see below), whose sum is σ = 173499480. Its totient is φ = 20641824.

The previous prime is 64146469. The next prime is 64146503. The reversal of 64146492 is 29464146.

64146492 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 649 + 2 = 666.

64146492 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×641464922 = 8229544871812128, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5983 + ... + 12809.

It is an arithmetic number, because the mean of its divisors is an integer number (2891658).

Almost surely, 264146492 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 64146492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86749740).

64146492 is an abundant number, since it is smaller than the sum of its proper divisors (109352988).

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

64146492 is a wasteful number, since it uses less digits than its factorization.

64146492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6861 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64146492 is about 8009.1505167527. The cubic root of 64146492 is about 400.3049591074.

The spelling of 64146492 in words is "sixty-four million, one hundred forty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 6827 9396 13654 20481 27308 40962 61443 81924 122886 184329 197983 245772 368658 395966 552987 593949 737316 791932 1105974 1187898 1781847 2211948 2375796 3563694 5345541 7127388 10691082 16036623 21382164 32073246 64146492