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2995968 = 2834783
BaseRepresentation
bin1011011011011100000000
312122012200210
423123130000
51231332333
6144114120
734315413
oct13333400
95565623
102995968
111766a08
121005940
1380b881
1457db7a
153e2a63
hex2db700

2995968 has 72 divisors (see below), whose sum is σ = 8241408. Its totient is φ = 965632.

The previous prime is 2995891. The next prime is 2995973. The reversal of 2995968 is 8695992.

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

It is an Ulam number.

Its product of digits (349920) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36055 + ... + 36137.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

22995968 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 2995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120704).

2995968 is an abundant number, since it is smaller than the sum of its proper divisors (5245440).

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

2995968 is an equidigital number, since it uses as much as digits as its factorization.

2995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 2995968 is about 1730.8864780799. The cubic root of 2995968 is about 144.1603152818.

The spelling of 2995968 in words is "two million, nine hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 83 94 96 128 141 166 188 192 249 256 282 332 376 384 498 564 664 752 768 996 1128 1328 1504 1992 2256 2656 3008 3901 3984 4512 5312 6016 7802 7968 9024 10624 11703 12032 15604 15936 18048 21248 23406 31208 31872 36096 46812 62416 63744 93624 124832 187248 249664 374496 499328 748992 998656 1497984 2995968