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42064350 = 23521931453
BaseRepresentation
bin1010000001110…
…1100111011110
32221011002102220
42200131213132
541232024400
64101330210
71020353406
oct240354736
987132386
1042064350
1121820629
1212106966
13893a363
14582d806
153a5d7a0
hex281d9de

42064350 has 48 divisors (see below), whose sum is σ = 104932272. Its totient is φ = 11151360.

The previous prime is 42064331. The next prime is 42064357. The reversal of 42064350 is 5346024.

It is a self number, because there is not a number n which added to its sum of digits gives 42064350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42064357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28224 + ... + 29676.

It is an arithmetic number, because the mean of its divisors is an integer number (2186089).

Almost surely, 242064350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42064350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52466136).

42064350 is an abundant number, since it is smaller than the sum of its proper divisors (62867922).

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

42064350 is a wasteful number, since it uses less digits than its factorization.

42064350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42064350 is about 6485.7035084870. The cubic root of 42064350 is about 347.7800995474.

The spelling of 42064350 in words is "forty-two million, sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 193 386 579 965 1158 1453 1930 2895 2906 4359 4825 5790 7265 8718 9650 14475 14530 21795 28950 36325 43590 72650 108975 217950 280429 560858 841287 1402145 1682574 2804290 4206435 7010725 8412870 14021450 21032175 42064350