Search a number
-
+
42914312 = 2371953761
BaseRepresentation
bin1010001110110…
…1001000001000
32222202021100222
42203231020020
541441224222
64131445212
71030523420
oct243551010
988667328
1042914312
1122251181
1212456808
138b771ac
1459b1480
153b7a542
hex28ed208

42914312 has 64 divisors (see below), whose sum is σ = 98755200. Its totient is φ = 17072640.

The previous prime is 42914303. The next prime is 42914357. The reversal of 42914312 is 21341924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56012 + ... + 56772.

It is an arithmetic number, because the mean of its divisors is an integer number (1543050).

Almost surely, 242914312 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 42914312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

42914312 is an abundant number, since it is smaller than the sum of its proper divisors (55840888).

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

42914312 is a wasteful number, since it uses less digits than its factorization.

42914312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 42914312 is about 6550.9016173348. The cubic root of 42914312 is about 350.1069387513.

It can be divided in two parts, 429 and 14312, that added together give a palindrome (14741).

The spelling of 42914312 in words is "forty-two million, nine hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 106 133 152 212 266 371 424 532 742 761 1007 1064 1484 1522 2014 2968 3044 4028 5327 6088 7049 8056 10654 14098 14459 21308 28196 28918 40333 42616 56392 57836 80666 101213 115672 161332 202426 282331 322664 404852 564662 766327 809704 1129324 1532654 2258648 3065308 5364289 6130616 10728578 21457156 42914312