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48661760 = 28575431
BaseRepresentation
bin1011100110100…
…0010100000000
310101120021101102
42321220110000
544424134020
64454553532
71130422010
oct271502400
9111507342
1048661760
1125517334
12143688a8
13a10a254
146669c40
154413475
hex2e68500

48661760 has 72 divisors (see below), whose sum is σ = 133236096. Its totient is φ = 16680960.

The previous prime is 48661757. The next prime is 48661783. The reversal of 48661760 is 6716684.

It is a congruent number.

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, 6245 + ... + 11675.

Almost surely, 248661760 is an apocalyptic number.

48661760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66618048).

48661760 is an abundant number, since it is smaller than the sum of its proper divisors (84574336).

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

48661760 is an equidigital number, since it uses as much as digits as its factorization.

48661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 48661760 is about 6975.7981622177. The cubic root of 48661760 is about 365.0866373435.

The spelling of 48661760 in words is "forty-eight million, six hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 5431 8960 10862 21724 27155 38017 43448 54310 76034 86896 108620 152068 173792 190085 217240 304136 347584 380170 434480 608272 695168 760340 868960 1216544 1390336 1520680 1737920 2433088 3041360 3475840 4866176 6082720 6951680 9732352 12165440 24330880 48661760