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4123048248 = 23321114713539
BaseRepresentation
bin1111010111000000…
…1011100100111000
3101122100020112220200
43311300023210320
531421000020443
61521043122200
7204113221554
oct36560134470
911570215820
104123048248
1118263981a0
12970973360
13509274c27
142b1824864
15191e7ddd3
hexf5c0b938

4123048248 has 96 divisors (see below), whose sum is σ = 12193459200. Its totient is φ = 1248206400.

The previous prime is 4123048247. The next prime is 4123048253. The reversal of 4123048248 is 8428403214.

4123048248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123048247) 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, 1163263 + ... + 1166801.

It is an arithmetic number, because the mean of its divisors is an integer number (127015200).

Almost surely, 24123048248 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 4123048248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096729600).

4123048248 is an abundant number, since it is smaller than the sum of its proper divisors (8070410952).

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

4123048248 is a wasteful number, since it uses less digits than its factorization.

4123048248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4123048248 is about 64210.9667268762. The cubic root of 4123048248 is about 1603.5141832136.

The spelling of 4123048248 in words is "four billion, one hundred twenty-three million, forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1471 2942 3539 4413 5884 7078 8826 10617 11768 13239 14156 16181 17652 21234 26478 28312 31851 32362 35304 38929 42468 48543 52956 63702 64724 77858 84936 97086 105912 116787 127404 129448 145629 155716 194172 233574 254808 291258 311432 350361 388344 467148 582516 700722 934296 1165032 1401444 2802888 5205869 10411738 15617607 20823476 31235214 41646952 46852821 57264559 62470428 93705642 114529118 124940856 171793677 187411284 229058236 343587354 374822568 458116472 515381031 687174708 1030762062 1374349416 2061524124 4123048248