Search a number
-
+
2974972 = 2271113743
BaseRepresentation
bin1011010110010011111100
312121010220011
423112103330
51230144342
6143433004
734200250
oct13262374
95533804
102974972
111752160
12bb5764
13802150
14576260
153db717
hex2d64fc

2974972 has 48 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 1068480.

The previous prime is 2974967. The next prime is 2974973. The reversal of 2974972 is 2794792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3633 + ... + 4375.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

22974972 is an apocalyptic number.

2974972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2974972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2974972 is an abundant number, since it is smaller than the sum of its proper divisors (4024580).

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

2974972 is a wasteful number, since it uses less digits than its factorization.

2974972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 2974972 is about 1724.8107142524. The cubic root of 2974972 is about 143.8227629108.

The spelling of 2974972 in words is "two million, nine hundred seventy-four thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 743 1001 1486 2002 2972 4004 5201 8173 9659 10402 16346 19318 20804 32692 38636 57211 67613 106249 114422 135226 212498 228844 270452 424996 743743 1487486 2974972