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42312450 = 23522971137
BaseRepresentation
bin1010000101101…
…0001100000010
32221121200202210
42201122030002
541312444300
64110522550
71022435625
oct241321402
987550683
1042312450
112197aa74
1212206456
1389c626b
145895dbc
153aac050
hex285a302

42312450 has 96 divisors (see below), whose sum is σ = 110885760. Its totient is φ = 10662400.

The previous prime is 42312437. The next prime is 42312481. The reversal of 42312450 is 5421324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308782 + ... + 308918.

It is an arithmetic number, because the mean of its divisors is an integer number (1155060).

Almost surely, 242312450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55442880).

42312450 is an abundant number, since it is smaller than the sum of its proper divisors (68573310).

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

42312450 is a wasteful number, since it uses less digits than its factorization.

42312450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42312450 is about 6504.8020723155. The cubic root of 42312450 is about 348.4625076396.

Adding to 42312450 its reverse (5421324), we get a palindrome (47733774).

The spelling of 42312450 in words is "forty-two million, three hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 71 75 87 137 142 145 150 174 213 274 290 355 411 426 435 685 710 725 822 870 1065 1370 1450 1775 2055 2059 2130 2175 3425 3550 3973 4110 4118 4350 5325 6177 6850 7946 9727 10275 10295 10650 11919 12354 19454 19865 20550 20590 23838 29181 30885 39730 48635 51475 58362 59595 61770 97270 99325 102950 119190 145905 154425 198650 243175 282083 291810 297975 308850 486350 564166 595950 729525 846249 1410415 1459050 1692498 2820830 4231245 7052075 8462490 14104150 21156225 42312450