Search a number
-
+
62426368 = 284353107
BaseRepresentation
bin1110111000100…
…0110100000000
311100110120212201
43232020310000
5111440120433
610110002544
71355421034
oct356106400
9140416781
1062426368
1132268944
1218aa6454
13cc194a4
1484101c4
155731a7d
hex3b88d00

62426368 has 72 divisors (see below), whose sum is σ = 131126688. Its totient is φ = 29632512.

The previous prime is 62426321. The next prime is 62426369. The reversal of 62426368 is 86362426.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62426369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583371 + ... + 583477.

It is an arithmetic number, because the mean of its divisors is an integer number (1821204).

Almost surely, 262426368 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 62426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563344).

62426368 is an abundant number, since it is smaller than the sum of its proper divisors (68700320).

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

62426368 is a wasteful number, since it uses less digits than its factorization.

62426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 62426368 is about 7901.0358814525. The cubic root of 62426368 is about 396.6943570655.

The spelling of 62426368 in words is "sixty-two million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 107 128 172 212 214 256 344 424 428 688 848 856 1376 1696 1712 2279 2752 3392 3424 4558 4601 5504 5671 6784 6848 9116 9202 11008 11342 13568 13696 18232 18404 22684 27392 36464 36808 45368 72928 73616 90736 145856 147232 181472 243853 291712 294464 362944 487706 583424 588928 725888 975412 1177856 1451776 1950824 3901648 7803296 15606592 31213184 62426368