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48824320 = 2165149
BaseRepresentation
bin1011101001000…
…0000000000000
310101212112101011
42322100000000
544444334240
64502250304
71131666646
oct272200000
9111775334
1048824320
1125618486
1214426994
13a16623c
1466ad196
1544466ea
hex2e90000

48824320 has 68 divisors (see below), whose sum is σ = 117963900. Its totient is φ = 19398656.

The previous prime is 48824299. The next prime is 48824333. The reversal of 48824320 is 2342884.

It can be written as a sum of positive squares in 2 ways, for example, as 11075584 + 37748736 = 3328^2 + 6144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327606 + ... + 327754.

Almost surely, 248824320 is an apocalyptic number.

48824320 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 48824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58981950).

48824320 is an abundant number, since it is smaller than the sum of its proper divisors (69139580).

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

48824320 is an frugal number, since it uses more digits than its factorization.

48824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 48824320 is about 6987.4401607456. The cubic root of 48824320 is about 365.4927229393.

The spelling of 48824320 in words is "forty-eight million, eight hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 256 298 320 512 596 640 745 1024 1192 1280 1490 2048 2384 2560 2980 4096 4768 5120 5960 8192 9536 10240 11920 16384 19072 20480 23840 32768 38144 40960 47680 65536 76288 81920 95360 152576 163840 190720 305152 327680 381440 610304 762880 1220608 1525760 2441216 3051520 4882432 6103040 9764864 12206080 24412160 48824320