Search a number
-
+
2966808 = 2331337257
BaseRepresentation
bin1011010100010100011000
312120201200210
423110110120
51224414213
6143331120
734134405
oct13242430
95521623
102966808
111747009
12bb0aa0
137cb510
145732ac
153d90c3
hex2d4518

2966808 has 64 divisors (see below), whose sum is σ = 8235360. Its totient is φ = 884736.

The previous prime is 2966807. The next prime is 2966809. The reversal of 2966808 is 8086692.

It is an interprime number because it is at equal distance from previous prime (2966807) and next prime (2966809).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11416 + ... + 11672.

22966808 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 2966808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117680).

2966808 is an abundant number, since it is smaller than the sum of its proper divisors (5268552).

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

2966808 is a wasteful number, since it uses less digits than its factorization.

2966808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2966808 is about 1722.4424518689. The cubic root of 2966808 is about 143.6910815887.

The spelling of 2966808 in words is "two million, nine hundred sixty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 257 296 312 444 481 514 771 888 962 1028 1443 1542 1924 2056 2886 3084 3341 3848 5772 6168 6682 9509 10023 11544 13364 19018 20046 26728 28527 38036 40092 57054 76072 80184 114108 123617 228216 247234 370851 494468 741702 988936 1483404 2966808