Search a number
-
+
62141742 = 23413191553
BaseRepresentation
bin1110110100001…
…1010100101110
311022221010110000
43231003110232
5111402013432
610055525130
71353124155
oct355032456
9138833400
1062141742
1132094013
12189897a6
13cb49a80
14837859c
1556c757c
hex3b4352e

62141742 has 80 divisors (see below), whose sum is σ = 157948560. Its totient is φ = 18102528.

The previous prime is 62141741. The next prime is 62141743. The reversal of 62141742 is 24714126.

It is an interprime number because it is at equal distance from previous prime (62141741) and next prime (62141743).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62141741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39238 + ... + 40790.

It is an arithmetic number, because the mean of its divisors is an integer number (1974357).

Almost surely, 262141742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62141742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78974280).

62141742 is an abundant number, since it is smaller than the sum of its proper divisors (95806818).

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

62141742 is a wasteful number, since it uses less digits than its factorization.

62141742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1590 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 62141742 is about 7883.0033616636. The cubic root of 62141742 is about 396.0905440341.

Adding to 62141742 its reverse (24714126), we get a palindrome (86855868).

The spelling of 62141742 in words is "sixty-two million, one hundred forty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 702 741 1026 1053 1482 1539 1553 2106 2223 3078 3106 4446 4659 6669 9318 13338 13977 20007 20189 27954 29507 40014 40378 41931 59014 60567 83862 88521 121134 125793 177042 181701 251586 265563 363402 383591 531126 545103 767182 796689 1090206 1150773 1593378 1635309 2301546 2390067 3270618 3452319 4780134 6904638 10356957 20713914 31070871 62141742