Search a number
-
+
74542842 = 2341159709
BaseRepresentation
bin1000111000101…
…10111011111010
312012021011120000
410130112323322
5123040332332
611221413430
71563414033
oct434267372
9165234500
1074542842
1139094160
1220b6a276
131259c4ba
149c85a8a
156826b7c
hex4716efa

74542842 has 80 divisors (see below), whose sum is σ = 185565600. Its totient is φ = 22174560.

The previous prime is 74542801. The next prime is 74542843. The reversal of 74542842 is 24824547.

74542842 is a `hidden beast` number, since 74 + 542 + 8 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74542797 and 74542806.

It is not an unprimeable number, because it can be changed into a prime (74542843) 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, 104784 + ... + 105492.

It is an arithmetic number, because the mean of its divisors is an integer number (2319570).

Almost surely, 274542842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74542842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92782800).

74542842 is an abundant number, since it is smaller than the sum of its proper divisors (111022758).

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

74542842 is a wasteful number, since it uses less digits than its factorization.

74542842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 784 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 74542842 is about 8633.8196645517. The cubic root of 74542842 is about 420.8577369068.

It can be divided in two parts, 7454 and 2842, that added together give a triangular number (10296 = T143).

The spelling of 74542842 in words is "seventy-four million, five hundred forty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 709 891 1062 1298 1418 1593 1782 1947 2127 3186 3894 4254 4779 5841 6381 7799 9558 11682 12762 15598 17523 19143 23397 35046 38286 41831 46794 52569 57429 70191 83662 105138 114858 125493 140382 210573 250986 376479 421146 460141 631719 752958 920282 1129437 1263438 1380423 2258874 2760846 3388311 4141269 6776622 8282538 12423807 24847614 37271421 74542842