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2797968 = 24371821
BaseRepresentation
bin1010101011000110010000
312021011002110
422223012100
51204013333
6135545320
732532225
oct12530620
95234073
102797968
111641178
12b2b240
1376c704
1452b94c
153a4063
hex2ab190

2797968 has 40 divisors (see below), whose sum is σ = 7338816. Its totient is φ = 918400.

The previous prime is 2797961. The next prime is 2797999. The reversal of 2797968 is 8697972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2797961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2998 + ... + 3818.

22797968 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 2797968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669408).

2797968 is an abundant number, since it is smaller than the sum of its proper divisors (4540848).

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

2797968 is a wasteful number, since it uses less digits than its factorization.

2797968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 2797968 is about 1672.7127667355. The cubic root of 2797968 is about 140.9118708877.

The spelling of 2797968 in words is "two million, seven hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 821 852 1136 1642 1704 2463 3284 3408 4926 6568 9852 13136 19704 39408 58291 116582 174873 233164 349746 466328 699492 932656 1398984 2797968