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48253320 = 2334553281
BaseRepresentation
bin1011100000010…
…0100110001000
310100210112010000
42320010212020
544323101240
64442123000
71124101143
oct270044610
9110715100
1048253320
1125268485
12141b0460
139cc637b
1465a105a
154382430
hex2e04988

48253320 has 160 divisors (see below), whose sum is σ = 165832920. Its totient is φ = 12579840.

The previous prime is 48253273. The next prime is 48253343. The reversal of 48253320 is 2335284.

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 3175524 = 6714^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171580 + ... + 171860.

Almost surely, 248253320 is an apocalyptic number.

48253320 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 48253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82916460).

48253320 is an abundant number, since it is smaller than the sum of its proper divisors (117579600).

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

48253320 is a wasteful number, since it uses less digits than its factorization.

48253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 48253320 is about 6946.4609694434. The cubic root of 48253320 is about 364.0623207708.

The spelling of 48253320 in words is "forty-eight million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 281 318 324 360 405 424 477 530 540 562 636 648 795 810 843 954 1060 1080 1124 1272 1405 1431 1590 1620 1686 1908 2120 2248 2385 2529 2810 2862 3180 3240 3372 3816 4215 4293 4770 5058 5620 5724 6360 6744 7155 7587 8430 8586 9540 10116 11240 11448 12645 14310 14893 15174 16860 17172 19080 20232 21465 22761 25290 28620 29786 30348 33720 34344 37935 42930 44679 45522 50580 57240 59572 60696 74465 75870 85860 89358 91044 101160 113805 119144 134037 148930 151740 171720 178716 182088 223395 227610 268074 297860 303480 357432 402111 446790 455220 536148 595720 670185 804222 893580 910440 1072296 1206333 1340370 1608444 1787160 2010555 2412666 2680740 3216888 4021110 4825332 5361480 6031665 8042220 9650664 12063330 16084440 24126660 48253320