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48013040 = 2457179107
BaseRepresentation
bin1011011100100…
…1111011110000
310100100022111202
42313021323300
544242404130
64433030332
71122050465
oct267117360
9110308452
1048013040
11251139a9
12140b53a8
139c40baa
14653b66c
154336145
hex2dc9ef0

48013040 has 80 divisors (see below), whose sum is σ = 115706880. Its totient is φ = 18520320.

The previous prime is 48013033. The next prime is 48013081. The reversal of 48013040 is 4031084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448667 + ... + 448773.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 248013040 is an apocalyptic number.

48013040 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 48013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

48013040 is an abundant number, since it is smaller than the sum of its proper divisors (67693840).

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

48013040 is a wasteful number, since it uses less digits than its factorization.

48013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 48013040 is about 6929.1442473079. The cubic root of 48013040 is about 363.4570256596.

The spelling of 48013040 in words is "forty-eight million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 79 80 107 142 158 214 284 316 355 395 428 535 568 632 710 790 856 1070 1136 1264 1420 1580 1712 2140 2840 3160 4280 5609 5680 6320 7597 8453 8560 11218 15194 16906 22436 28045 30388 33812 37985 42265 44872 56090 60776 67624 75970 84530 89744 112180 121552 135248 151940 169060 224360 303880 338120 448720 600163 607760 676240 1200326 2400652 3000815 4801304 6001630 9602608 12003260 24006520 48013040