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48532640 = 2551323333
BaseRepresentation
bin1011100100100…
…0110010100000
310101022201021012
42321020302200
544411021030
64452120052
71126343402
oct271106240
9111281235
1048532640
1125439322
1214306028
13a093550
146634b72
1543da095
hex2e48ca0

48532640 has 48 divisors (see below), whose sum is σ = 123483528. Its totient is φ = 17918976.

The previous prime is 48532619. The next prime is 48532667. The reversal of 48532640 is 4623584.

It can be written as a sum of positive squares in 4 ways, for example, as 16224784 + 32307856 = 4028^2 + 5684^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48532597 and 48532606.

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, 9587 + ... + 13746.

Almost surely, 248532640 is an apocalyptic number.

48532640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48532640 is an abundant number, since it is smaller than the sum of its proper divisors (74950888).

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

48532640 is a wasteful number, since it uses less digits than its factorization.

48532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23361 (or 23353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 48532640 is about 6966.5371598808. The cubic root of 48532640 is about 364.7634421404.

The spelling of 48532640 in words is "forty-eight million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 23333 46666 93332 116665 186664 233330 303329 373328 466660 606658 746656 933320 1213316 1516645 1866640 2426632 3033290 3733280 4853264 6066580 9706528 12133160 24266320 48532640