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2972976 = 243241257
BaseRepresentation
bin1011010101110100110000
312121001011020
423111310300
51230113401
6143415440
734161366
oct13256460
95531136
102972976
111750706
12bb4580
13801276
14575636
153dad36
hex2d5d30

2972976 has 40 divisors (see below), whose sum is σ = 7742064. Its totient is φ = 983040.

The previous prime is 2972971. The next prime is 2973001. The reversal of 2972976 is 6792792.

2972976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2972971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11440 + ... + 11696.

22972976 is an apocalyptic number.

2972976 is the 1091-st centered pentagonal number.

It is an amenable number.

2972976 is an abundant number, since it is smaller than the sum of its proper divisors (4769088).

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

2972976 is a wasteful number, since it uses less digits than its factorization.

2972976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 2972976 is about 1724.2320029509. The cubic root of 2972976 is about 143.7905906797.

The spelling of 2972976 in words is "two million, nine hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 241 257 482 514 723 771 964 1028 1446 1542 1928 2056 2892 3084 3856 4112 5784 6168 11568 12336 61937 123874 185811 247748 371622 495496 743244 990992 1486488 2972976