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2029352 = 231321979
BaseRepresentation
bin111101111011100101000
310211002202012
413233130220
51004414402
6111255052
723151323
oct7573450
93732665
102029352
111166756
1281a488
13560900
143ab7ba
152a1452
hex1ef728

2029352 has 48 divisors (see below), whose sum is σ = 4392000. Its totient is φ = 876096.

The previous prime is 2029351. The next prime is 2029369. The reversal of 2029352 is 2539202.

It is not an unprimeable number, because it can be changed into a prime (2029351) 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, 25649 + ... + 25727.

It is an arithmetic number, because the mean of its divisors is an integer number (91500).

22029352 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 2029352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196000).

2029352 is an abundant number, since it is smaller than the sum of its proper divisors (2362648).

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

2029352 is a wasteful number, since it uses less digits than its factorization.

2029352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2029352 is about 1424.5532633075. The cubic root of 2029352 is about 126.6054675123.

The spelling of 2029352 in words is "two million, twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 79 104 152 158 169 247 316 338 494 632 676 988 1027 1352 1501 1976 2054 3002 3211 4108 6004 6422 8216 12008 12844 13351 19513 25688 26702 39026 53404 78052 106808 156104 253669 507338 1014676 2029352