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648148248 = 2332113126399
BaseRepresentation
bin100110101000011…
…111010100011000
31200011121100020200
4212220133110120
52311411220443
6144152022200
722030112016
oct4650372430
91604540220
10648148248
11302954410
12161091960
13a4386197
146211b8b6
153bd7ddd3
hex26a1f518

648148248 has 96 divisors (see below), whose sum is σ = 1976832000. Its totient is φ = 190065600.

The previous prime is 648148229. The next prime is 648148253. The reversal of 648148248 is 842841846.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11353 + ... + 37751.

It is an arithmetic number, because the mean of its divisors is an integer number (20592000).

Almost surely, 2648148248 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 648148248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988416000).

648148248 is an abundant number, since it is smaller than the sum of its proper divisors (1328683752).

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

648148248 is a wasteful number, since it uses less digits than its factorization.

648148248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26453 (or 26446 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 648148248 is about 25458.7558219171. The cubic root of 648148248 is about 865.4157280830.

The spelling of 648148248 in words is "six hundred forty-eight million, one hundred forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 26399 52798 79197 105596 158394 211192 237591 290389 316788 475182 580778 633576 818369 871167 950364 1161556 1636738 1742334 1900728 2323112 2455107 2613501 3273476 3484668 4910214 5227002 6546952 6969336 7365321 9002059 9820428 10454004 14730642 18004118 19640856 20908008 27006177 29461284 36008236 54012354 58922568 72016472 81018531 108024708 162037062 216049416 324074124 648148248