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2664792 = 233313273
BaseRepresentation
bin1010001010100101011000
312000101102000
422022211120
51140233132
6133041000
731436034
oct12124530
95011360
102664792
111560109
12a86160
13723c00
144d51c4
1537987c
hex28a958

2664792 has 96 divisors (see below), whose sum is σ = 8125200. Its totient is φ = 808704.

The previous prime is 2664763. The next prime is 2664793. The reversal of 2664792 is 2974662.

It is a happy number.

2664792 is a `hidden beast` number, since 2 + 6 + 647 + 9 + 2 = 666.

It is a super-2 number, since 2×26647922 = 14202232806528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664793) 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, 36468 + ... + 36540.

22664792 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 2664792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062600).

2664792 is an abundant number, since it is smaller than the sum of its proper divisors (5460408).

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

2664792 is a wasteful number, since it uses less digits than its factorization.

2664792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2664792 is about 1632.4190638436. The cubic root of 2664792 is about 138.6397517206.

The spelling of 2664792 in words is "two million, six hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 104 108 117 146 156 169 216 219 234 292 312 338 351 438 468 507 584 657 676 702 876 936 949 1014 1314 1352 1404 1521 1752 1898 1971 2028 2628 2808 2847 3042 3796 3942 4056 4563 5256 5694 6084 7592 7884 8541 9126 11388 12168 12337 15768 17082 18252 22776 24674 25623 34164 36504 37011 49348 51246 68328 74022 98696 102492 111033 148044 204984 222066 296088 333099 444132 666198 888264 1332396 2664792