Search a number
-
+
74514978 = 2351729311
BaseRepresentation
bin1000111000100…
…00001000100010
312012012202100000
410130100020202
5123033434403
611221040430
71563236556
oct434201042
9165182300
1074514978
113907522a
1220b56116
131258c905
149c79866
15681d7a3
hex4710222

74514978 has 96 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 22498560.

The previous prime is 74514943. The next prime is 74514989. The reversal of 74514978 is 87941547.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239443 + ... + 239753.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 274514978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74514978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

74514978 is an abundant number, since it is smaller than the sum of its proper divisors (109465182).

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

74514978 is a wasteful number, since it uses less digits than its factorization.

74514978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 74514978 is about 8632.2058594545. The cubic root of 74514978 is about 420.8052917128.

The spelling of 74514978 in words is "seventy-four million, five hundred fourteen thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 243 261 306 311 459 486 493 522 622 783 918 933 986 1377 1479 1566 1866 2349 2754 2799 2958 4131 4437 4698 5287 5598 7047 8262 8397 8874 9019 10574 13311 14094 15861 16794 18038 25191 26622 27057 31722 39933 47583 50382 54114 75573 79866 81171 95166 119799 142749 151146 153323 162342 239598 243513 285498 306646 428247 459969 487026 730539 856494 919938 1284741 1379907 1461078 2191617 2569482 2759814 4139721 4383234 8279442 12419163 24838326 37257489 74514978