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2893392 = 243271283
BaseRepresentation
bin1011000010011001010000
312102222222200
423002121100
51220042032
6142003200
733410355
oct13023120
95388880
102893392
1116a6937
12b76500
137a3c88
1455462c
153c247c
hex2c2650

2893392 has 60 divisors (see below), whose sum is σ = 8240544. Its totient is φ = 947520.

The previous prime is 2893391. The next prime is 2893393. The reversal of 2893392 is 2933982.

It is an interprime number because it is at equal distance from previous prime (2893391) and next prime (2893393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10083 + ... + 10365.

22893392 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 2893392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120272).

2893392 is an abundant number, since it is smaller than the sum of its proper divisors (5347152).

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

2893392 is a wasteful number, since it uses less digits than its factorization.

2893392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2893392 is about 1700.9973544953. The cubic root of 2893392 is about 142.4959186273.

The spelling of 2893392 in words is "two million, eight hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 283 284 426 566 568 639 849 852 1132 1136 1278 1698 1704 2264 2547 2556 3396 3408 4528 5094 5112 6792 10188 10224 13584 20093 20376 40186 40752 60279 80372 120558 160744 180837 241116 321488 361674 482232 723348 964464 1446696 2893392