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2942976 = 2113479
BaseRepresentation
bin1011001110100000000000
312112112000010
423032200000
51223133401
6143024520
734005051
oct13164000
95475003
102942976
111730113
12b9b140
137c070a
14568728
153d1ed6
hex2ce800

2942976 has 48 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 978944.

The previous prime is 2942959. The next prime is 2942977. The reversal of 2942976 is 6792492.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29429762 = 17322215473152, which contains 22 as substring.

Its product of digits (54432) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (2942977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5905 + ... + 6383.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

22942976 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 2942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2942976 is an abundant number, since it is smaller than the sum of its proper divisors (4919424).

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

2942976 is an equidigital number, since it uses as much as digits as its factorization.

2942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 2942976 is about 1715.5104196711. The cubic root of 2942976 is about 143.3052958800.

The spelling of 2942976 in words is "two million, nine hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 479 512 768 958 1024 1437 1536 1916 2048 2874 3072 3832 5748 6144 7664 11496 15328 22992 30656 45984 61312 91968 122624 183936 245248 367872 490496 735744 980992 1471488 2942976