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2696772 = 2231359293
BaseRepresentation
bin1010010010011001000100
312002000021110
422102121010
51142244042
6133445020
731631211
oct12223104
95060243
102696772
111582141
12aa0770
13735630
14502b08
1538409c
hex292644

2696772 has 48 divisors (see below), whose sum is σ = 6914880. Its totient is φ = 812928.

The previous prime is 2696731. The next prime is 2696779. The reversal of 2696772 is 2776962.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2696772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696779) 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, 9058 + ... + 9350.

It is an arithmetic number, because the mean of its divisors is an integer number (144060).

22696772 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 2696772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457440).

2696772 is an abundant number, since it is smaller than the sum of its proper divisors (4218108).

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

2696772 is a wasteful number, since it uses less digits than its factorization.

2696772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 2696772 is about 1642.1851296367. The cubic root of 2696772 is about 139.1921501056.

The spelling of 2696772 in words is "two million, six hundred ninety-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 293 354 586 708 767 879 1172 1534 1758 2301 3068 3516 3809 4602 7618 9204 11427 15236 17287 22854 34574 45708 51861 69148 103722 207444 224731 449462 674193 898924 1348386 2696772