Search a number
-
+
99742608 = 24327531867
BaseRepresentation
bin1011111000111…
…11001110010000
320221200110010200
411330133032100
5201013230413
613521455200
72320540530
oct574371620
9227613120
1099742608
1151336109
12294a1500
13178835c4
14d3654c0
158b53573
hex5f1f390

99742608 has 120 divisors (see below), whose sum is σ = 325211328. Its totient is φ = 27945216.

The previous prime is 99742541. The next prime is 99742613. The reversal of 99742608 is 80624799.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52491 + ... + 54357.

Almost surely, 299742608 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 99742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162605664).

99742608 is an abundant number, since it is smaller than the sum of its proper divisors (225468720).

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

99742608 is a wasteful number, since it uses less digits than its factorization.

99742608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 99742608 is about 9987.1221079949. The cubic root of 99742608 is about 463.7603052517.

The spelling of 99742608 in words is "ninety-nine million, seven hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1867 1908 2226 2544 2968 3339 3734 3816 4452 5601 5936 6678 7468 7632 8904 11202 13069 13356 14936 16803 17808 22404 26138 26712 29872 33606 39207 44808 52276 53424 67212 78414 89616 98951 104552 117621 134424 156828 197902 209104 235242 268848 296853 313656 395804 470484 593706 627312 692657 791608 890559 940968 1187412 1385314 1583216 1781118 1881936 2077971 2374824 2770628 3562236 4155942 4749648 5541256 6233913 7124472 8311884 11082512 12467826 14248944 16623768 24935652 33247536 49871304 99742608