Search a number
-
+
422962512 = 24372315801
BaseRepresentation
bin11001001101011…
…110010101010000
31002110212201111020
4121031132111100
51331234300022
6105545315440
713324056600
oct3115362520
91073781436
10422962512
111a7829aa5
12b9795b80
136982129b
1440260c00
15271ec35c
hex1935e550

422962512 has 120 divisors (see below), whose sum is σ = 1312273152. Its totient is φ = 116928000.

The previous prime is 422962489. The next prime is 422962513. The reversal of 422962512 is 215269224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422962513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70012 + ... + 75812.

Almost surely, 2422962512 is an apocalyptic number.

422962512 is a gapful number since it is divisible by the number (42) 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 422962512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656136576).

422962512 is an abundant number, since it is smaller than the sum of its proper divisors (889310640).

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

422962512 is a wasteful number, since it uses less digits than its factorization.

422962512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5844 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 422962512 is about 20566.0524165431. The cubic root of 422962512 is about 750.6438985902.

The spelling of 422962512 in words is "four hundred twenty-two million, nine hundred sixty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 5801 6076 9114 10416 11602 12152 17403 18228 23204 24304 34806 36456 40607 46408 69612 72912 81214 92816 121821 139224 162428 179831 243642 278448 284249 324856 359662 487284 539493 568498 649712 719324 852747 974568 1078986 1136996 1258817 1438648 1705494 1949136 2157972 2273992 2517634 2877296 3410988 3776451 4315944 4547984 5035268 6821976 7552902 8631888 8811719 10070536 13643952 15105804 17623438 20141072 26435157 30211608 35246876 52870314 60423216 70493752 105740628 140987504 211481256 422962512