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39062142 = 2337234493
BaseRepresentation
bin1001010100000…
…0101001111110
32201111120012000
42111000221332
534444442032
63513123130
7653010540
oct225005176
981446160
1039062142
112005aa69
12110b94a6
1381289c2
14528b690
153668e7c
hex2540a7e

39062142 has 64 divisors (see below), whose sum is σ = 103541760. Its totient is φ = 10672992.

The previous prime is 39062131. The next prime is 39062161. The reversal of 39062142 is 24126093.

39062142 is a `hidden beast` number, since 39 + 0 + 621 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6448 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (1617840).

Almost surely, 239062142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39062142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51770880).

39062142 is an abundant number, since it is smaller than the sum of its proper divisors (64479618).

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

39062142 is a wasteful number, since it uses less digits than its factorization.

39062142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 39062142 is about 6249.9713599344. The cubic root of 39062142 is about 339.3011655256.

It can be divided in two parts, 39062 and 142, that added together give a square (39204 = 1982).

The spelling of 39062142 in words is "thirty-nine million, sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 4493 8694 8986 13479 26958 31451 40437 62902 80874 94353 103339 121311 188706 206678 242622 283059 310017 566118 620034 723373 849177 930051 1446746 1698354 1860102 2170119 2790153 4340238 5580306 6510357 13020714 19531071 39062142