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2933392 = 247112381
BaseRepresentation
bin1011001100001010010000
312112000212011
423030022100
51222332032
6142512304
733635110
oct13141220
95460764
102933392
1117239a0
12b95694
137b9247
14565040
153ce247
hex2cc290

2933392 has 40 divisors (see below), whose sum is σ = 7088832. Its totient is φ = 1142400.

The previous prime is 2933383. The next prime is 2933393.

2933392 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2933393) 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, 42 + ... + 2422.

22933392 is an apocalyptic number.

2933392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2933392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544416).

2933392 is an abundant number, since it is smaller than the sum of its proper divisors (4155440).

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

2933392 is a wasteful number, since it uses less digits than its factorization.

2933392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2401 counting only the distinct ones).

The product of its digits is 8748, while the sum is 31.

The square root of 2933392 is about 1712.7148040465. The cubic root of 2933392 is about 143.1495655856.

The spelling of 2933392 in words is "two million, nine hundred thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2381 4762 9524 16667 19048 26191 33334 38096 52382 66668 104764 133336 183337 209528 266672 366674 419056 733348 1466696 2933392