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2029392 = 243217829
BaseRepresentation
bin111101111011101010000
310211002210200
413233131100
51004420032
6111255200
723151411
oct7573520
93732720
102029392
111166792
1281a500
13560931
143ab808
152a147c
hex1ef750

2029392 has 60 divisors (see below), whose sum is σ = 6020820. Its totient is φ = 635904.

The previous prime is 2029387. The next prime is 2029399. The reversal of 2029392 is 2939202.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 646416 = 1176^2 + 804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034 + ... + 2862.

It is an arithmetic number, because the mean of its divisors is an integer number (100347).

22029392 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 2029392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010410).

2029392 is an abundant number, since it is smaller than the sum of its proper divisors (3991428).

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

2029392 is a wasteful number, since it uses less digits than its factorization.

2029392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2029392 is about 1424.5673027274. The cubic root of 2029392 is about 126.6062993354.

The spelling of 2029392 in words is "two million, twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 829 1224 1658 2448 2487 3316 4974 6632 7461 9948 13264 14093 14922 19896 28186 29844 39792 42279 56372 59688 84558 112744 119376 126837 169116 225488 253674 338232 507348 676464 1014696 2029392