Search a number
-
+
74281032 = 23327197757
BaseRepresentation
bin1000110110101…
…11000001001000
312011202212102100
410123113001020
5123003443112
611212033400
71561243530
oct433270110
9164685370
1074281032
1138a25491
1220a62860
131250a297
149c184c0
1567c42dc
hex46d7048

74281032 has 96 divisors (see below), whose sum is σ = 242049600. Its totient is φ = 20103552.

The previous prime is 74281027. The next prime is 74281033. The reversal of 74281032 is 23018247.

It is a junction number, because it is equal to n+sod(n) for n = 74280987 and 74281005.

It is not an unprimeable number, because it can be changed into a prime (74281033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5698 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (2521350).

Almost surely, 274281032 is an apocalyptic number.

74281032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74281032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121024800).

74281032 is an abundant number, since it is smaller than the sum of its proper divisors (167768568).

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

74281032 is a wasteful number, since it uses less digits than its factorization.

74281032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7788 counting only the distinct ones).

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

The square root of 74281032 is about 8618.6444409779. The cubic root of 74281032 is about 420.3644455738.

Adding to 74281032 its reverse (23018247), we get a palindrome (97299279).

The spelling of 74281032 in words is "seventy-four million, two hundred eighty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 7757 9576 15514 23271 31028 46542 54299 62056 69813 93084 108598 139626 147383 162897 186168 217196 279252 294766 325794 434392 442149 488691 558504 589532 651588 884298 977382 1031681 1179064 1303176 1326447 1768596 1954764 2063362 2652894 3095043 3537192 3909528 4126724 5305788 6190086 8253448 9285129 10611576 12380172 18570258 24760344 37140516 74281032