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42121350 = 2335241761
BaseRepresentation
bin1010000010101…
…1100010000110
32221020222122000
42200223202012
541240340400
64102450130
71021011525
oct240534206
987228560
1042121350
112185a437
1212133946
13895a29b
1458464bc
153a70600
hex282b886

42121350 has 96 divisors (see below), whose sum is σ = 119054880. Its totient is φ = 10944000.

The previous prime is 42121333. The next prime is 42121351. The reversal of 42121350 is 5312124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54970 + ... + 55730.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 242121350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59527440).

42121350 is an abundant number, since it is smaller than the sum of its proper divisors (76933530).

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

42121350 is a wasteful number, since it uses less digits than its factorization.

42121350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42121350 is about 6490.0963012886. The cubic root of 42121350 is about 347.9371170564.

Adding to 42121350 its reverse (5312124), we get a palindrome (47433474).

The spelling of 42121350 in words is "forty-two million, one hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 82 90 123 135 150 205 225 246 270 369 410 450 615 675 738 761 1025 1107 1230 1350 1522 1845 2050 2214 2283 3075 3690 3805 4566 5535 6150 6849 7610 9225 11070 11415 13698 18450 19025 20547 22830 27675 31201 34245 38050 41094 55350 57075 62402 68490 93603 102735 114150 156005 171225 187206 205470 280809 312010 342450 468015 513675 561618 780025 842427 936030 1027350 1404045 1560050 1684854 2340075 2808090 4212135 4680150 7020225 8424270 14040450 21060675 42121350