Search a number
-
+
2430864192 = 26359214589
BaseRepresentation
bin1001000011100100…
…0000101101000000
320021102002200210010
42100321000231000
514434300123232
61041113504520
7114145001421
oct22071005500
96242080703
102430864192
111038183279
1257a112140
132c98040a3
14190bb5648
15e36210cc
hex90e40b40

2430864192 has 56 divisors (see below), whose sum is σ = 6540703200. Its totient is φ = 796550656.

The previous prime is 2430864173. The next prime is 2430864197. The reversal of 2430864192 is 2914680342.

It is a self number, because there is not a number n which added to its sum of digits gives 2430864192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430864197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95967 + ... + 118622.

Almost surely, 22430864192 is an apocalyptic number.

It is an amenable number.

2430864192 is an abundant number, since it is smaller than the sum of its proper divisors (4109839008).

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

2430864192 is a wasteful number, since it uses less digits than its factorization.

2430864192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214663 (or 214653 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2430864192 is about 49303.7949046521. The cubic root of 2430864192 is about 1344.5807793219.

The spelling of 2430864192 in words is "two billion, four hundred thirty million, eight hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 214589 429178 643767 858356 1287534 1716712 2575068 3433424 5150136 6866848 10300272 12660751 13733696 20600544 25321502 37982253 41201088 50643004 75964506 101286008 151929012 202572016 303858024 405144032 607716048 810288064 1215432096 2430864192