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48873720 = 2335783701
BaseRepresentation
bin1011101001110…
…0000011111000
310101222001010210
42322130003320
5100002424340
64503311120
71132263660
oct272340370
9111861123
1048873720
1125651605
121444b4a0
13a18287c
1466c31a0
154456180
hex2e9c0f8

48873720 has 128 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 11020800.

The previous prime is 48873709. The next prime is 48873731. The reversal of 48873720 is 2737884.

48873720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48873709) and next prime (48873731).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 69370 + ... + 70070.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 248873720 is an apocalyptic number.

48873720 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 48873720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

48873720 is an abundant number, since it is smaller than the sum of its proper divisors (120954120).

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

48873720 is a wasteful number, since it uses less digits than its factorization.

48873720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 48873720 is about 6990.9741810423. The cubic root of 48873720 is about 365.6159487861.

The spelling of 48873720 in words is "forty-eight million, eight hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 332 415 420 498 581 664 701 830 840 996 1162 1245 1402 1660 1743 1992 2103 2324 2490 2804 2905 3320 3486 3505 4206 4648 4907 4980 5608 5810 6972 7010 8412 8715 9814 9960 10515 11620 13944 14020 14721 16824 17430 19628 21030 23240 24535 28040 29442 34860 39256 42060 49070 58183 58884 69720 73605 84120 98140 116366 117768 147210 174549 196280 232732 290915 294420 349098 407281 465464 581830 588840 698196 814562 872745 1163660 1221843 1396392 1629124 1745490 2036405 2327320 2443686 3258248 3490980 4072810 4887372 6109215 6981960 8145620 9774744 12218430 16291240 24436860 48873720