Search a number
-
+
48523264 = 211192943
BaseRepresentation
bin1011100100011…
…0100000000000
310101022020101221
42321012200000
544410221024
64452004424
71126304146
oct271064000
9111266357
1048523264
1125432279
1214300714
13a08c1ba
146631596
1543d73e4
hex2e46800

48523264 has 96 divisors (see below), whose sum is σ = 108108000. Its totient is φ = 21676032.

The previous prime is 48523231. The next prime is 48523303. The reversal of 48523264 is 46232584.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128427 + ... + 1128469.

It is an arithmetic number, because the mean of its divisors is an integer number (1126125).

Almost surely, 248523264 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 48523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054000).

48523264 is an abundant number, since it is smaller than the sum of its proper divisors (59584736).

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

48523264 is a wasteful number, since it uses less digits than its factorization.

48523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 48523264 is about 6965.8641962071. The cubic root of 48523264 is about 364.7399511297.

The spelling of 48523264 in words is "forty-eight million, five hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 29 32 38 43 58 64 76 86 116 128 152 172 232 256 304 344 464 512 551 608 688 817 928 1024 1102 1216 1247 1376 1634 1856 2048 2204 2432 2494 2752 3268 3712 4408 4864 4988 5504 6536 7424 8816 9728 9976 11008 13072 14848 17632 19456 19952 22016 23693 26144 29696 35264 38912 39904 44032 47386 52288 59392 70528 79808 88064 94772 104576 141056 159616 189544 209152 282112 319232 379088 418304 564224 638464 758176 836608 1128448 1276928 1516352 1673216 2553856 3032704 6065408 12130816 24261632 48523264