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48766320 = 24335107211
BaseRepresentation
bin1011101000000…
…1110101110000
310101202120211000
42322001311300
544441010240
64501122000
71131335601
oct272016560
9111676730
1048766320
1125588949
12143b9300
13a145a15
146695da8
154434430
hex2e81d70

48766320 has 160 divisors (see below), whose sum is σ = 170346240. Its totient is φ = 12821760.

The previous prime is 48766303. The next prime is 48766321. The reversal of 48766320 is 2366784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48766321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231015 + ... + 231225.

It is an arithmetic number, because the mean of its divisors is an integer number (1064664).

Almost surely, 248766320 is an apocalyptic number.

48766320 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 48766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85173120).

48766320 is an abundant number, since it is smaller than the sum of its proper divisors (121579920).

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

48766320 is a wasteful number, since it uses less digits than its factorization.

48766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 48766320 is about 6983.2886235641. The cubic root of 48766320 is about 365.3479386895.

The spelling of 48766320 in words is "forty-eight million, seven hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 211 214 216 240 270 321 360 422 428 432 535 540 633 642 720 844 856 963 1055 1070 1080 1266 1284 1605 1688 1712 1899 1926 2110 2140 2160 2532 2568 2889 3165 3210 3376 3798 3852 4220 4280 4815 5064 5136 5697 5778 6330 6420 7596 7704 8440 8560 9495 9630 10128 11394 11556 12660 12840 14445 15192 15408 16880 18990 19260 22577 22788 23112 25320 25680 28485 28890 30384 37980 38520 45154 45576 46224 50640 56970 57780 67731 75960 77040 90308 91152 112885 113940 115560 135462 151920 180616 203193 225770 227880 231120 270924 338655 361232 406386 451540 455760 541848 609579 677310 812772 903080 1015965 1083696 1219158 1354620 1625544 1806160 2031930 2438316 2709240 3047895 3251088 4063860 4876632 5418480 6095790 8127720 9753264 12191580 16255440 24383160 48766320