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48133320 = 23352111901
BaseRepresentation
bin1011011110011…
…1010011001000
310100120102111120
42313213103020
544310231240
64435355240
71123061244
oct267472310
9110512446
1048133320
1125196304
1214152b20
139c83871
14656d424
15435bad0
hex2de74c8

48133320 has 64 divisors (see below), whose sum is σ = 145160640. Its totient is φ = 12768000.

The previous prime is 48133313. The next prime is 48133343. The reversal of 48133320 is 2333184.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 24370 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (2268135).

Almost surely, 248133320 is an apocalyptic number.

48133320 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 48133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72580320).

48133320 is an abundant number, since it is smaller than the sum of its proper divisors (97027320).

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

48133320 is a wasteful number, since it uses less digits than its factorization.

48133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 48133320 is about 6937.8181008153. The cubic root of 48133320 is about 363.7602776940.

The spelling of 48133320 in words is "forty-eight million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 1901 2110 2532 3165 3802 4220 5064 5703 6330 7604 8440 9505 11406 12660 15208 19010 22812 25320 28515 38020 45624 57030 76040 114060 228120 401111 802222 1203333 1604444 2005555 2406666 3208888 4011110 4813332 6016665 8022220 9626664 12033330 16044440 24066660 48133320