Search a number
-
+
523642056 = 233737611381
BaseRepresentation
bin11111001101100…
…010010011001000
31100111022202212020
4133031202103020
52033023021211
6123543244440
715655612140
oct3715422310
91314282766
10523642056
11249645033
12127449720
1384642192
144d78b920
1530e88306
hex1f3624c8

523642056 has 128 divisors (see below), whose sum is σ = 1562876160. Its totient is φ = 143078400.

The previous prime is 523642039. The next prime is 523642079. The reversal of 523642056 is 650246325.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378486 + ... + 379866.

It is an arithmetic number, because the mean of its divisors is an integer number (12209970).

Almost surely, 2523642056 is an apocalyptic number.

523642056 is a gapful number since it is divisible by the number (56) 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 523642056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781438080).

523642056 is an abundant number, since it is smaller than the sum of its proper divisors (1039234104).

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

523642056 is a wasteful number, since it uses less digits than its factorization.

523642056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 523642056 is about 22883.2265207510. The cubic root of 523642056 is about 806.0181841321.

The spelling of 523642056 in words is "five hundred twenty-three million, six hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 61 74 84 111 122 148 168 183 222 244 259 296 366 427 444 488 518 732 777 854 888 1036 1281 1381 1464 1554 1708 2072 2257 2562 2762 3108 3416 4143 4514 5124 5524 6216 6771 8286 9028 9667 10248 11048 13542 15799 16572 18056 19334 27084 29001 31598 33144 38668 47397 51097 54168 58002 63196 77336 84241 94794 102194 116004 126392 153291 168482 189588 204388 232008 252723 306582 336964 357679 379176 408776 505446 589687 613164 673928 715358 1010892 1073037 1179374 1226328 1430716 1769061 2021784 2146074 2358748 2861432 3116917 3538122 4292148 4717496 6233834 7076244 8584296 9350751 12467668 14152488 18701502 21818419 24935336 37403004 43636838 65455257 74806008 87273676 130910514 174547352 261821028 523642056