Search a number
-
+
99350944 = 2571161661
BaseRepresentation
bin1011110101111…
…11100110100000
320220221112212121
411322333212200
5200413212234
613505234024
72314316620
oct572774640
9226845777
1099350944
1151098920
1229332914
1317777254
14d2a2880
158ac74b4
hex5ebf9a0

99350944 has 96 divisors (see below), whose sum is σ = 248234112. Its totient is φ = 38016000.

The previous prime is 99350929. The next prime is 99350947. The reversal of 99350944 is 44905399.

It is a super-2 number, since 2×993509442 = 19741220147382272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99350944.

It is not an unprimeable number, because it can be changed into a prime (99350947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149974 + ... + 150634.

It is an arithmetic number, because the mean of its divisors is an integer number (2585772).

Almost surely, 299350944 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 99350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124117056).

99350944 is an abundant number, since it is smaller than the sum of its proper divisors (148883168).

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

99350944 is a wasteful number, since it uses less digits than its factorization.

99350944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 99350944 is about 9967.4943691983. The cubic root of 99350944 is about 463.1524858220.

The spelling of 99350944 in words is "ninety-nine million, three hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 77 88 112 122 154 176 224 244 308 352 427 488 616 661 671 854 976 1232 1322 1342 1708 1952 2464 2644 2684 3416 4627 4697 5288 5368 6832 7271 9254 9394 10576 10736 13664 14542 18508 18788 21152 21472 29084 37016 37576 40321 50897 58168 74032 75152 80642 101794 116336 148064 150304 161284 203588 232672 282247 322568 407176 443531 564494 645136 814352 887062 1128988 1290272 1628704 1774124 2257976 3104717 3548248 4515952 6209434 7096496 9031904 12418868 14192992 24837736 49675472 99350944