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48723088 = 2417241257
BaseRepresentation
bin1011100111011…
…1010010010000
310101200101111211
42321313102100
544433114323
64500145504
71131065551
oct271672220
9111611454
1048723088
1125559417
1214398294
13a12c13b
146684328
15442670d
hex2e77490

48723088 has 60 divisors (see below), whose sum is σ = 103126212. Its totient is φ = 22282240.

The previous prime is 48723083. The next prime is 48723089. The reversal of 48723088 is 88032784.

48723088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5531904 + 43191184 = 2352^2 + 6572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48723088.

It is not an unprimeable number, because it can be changed into a prime (48723083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189456 + ... + 189712.

Almost surely, 248723088 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 48723088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51563106).

48723088 is an abundant number, since it is smaller than the sum of its proper divisors (54403124).

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

48723088 is a wasteful number, since it uses less digits than its factorization.

48723088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 48723088 is about 6980.1925474875. The cubic root of 48723088 is about 365.2399448131.

The spelling of 48723088 in words is "forty-eight million, seven hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 257 272 289 328 514 578 656 697 1028 1156 1394 2056 2312 2788 4112 4369 4624 5576 8738 10537 11152 11849 17476 21074 23698 34952 42148 47396 69904 74273 84296 94792 148546 168592 179129 189584 297092 358258 594184 716516 1188368 1433032 2866064 3045193 6090386 12180772 24361544 48723088