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48398480 = 24513173269
BaseRepresentation
bin1011100010100…
…0000010010000
310101001220020022
42320220002100
544342222410
64445203012
71125244304
oct270500220
9111056208
1048398480
1125357549
1214260468
13a047470
1465dbd04
1543b0455
hex2e28090

48398480 has 80 divisors (see below), whose sum is σ = 122335920. Its totient is φ = 17700864.

The previous prime is 48398461. The next prime is 48398503. The reversal of 48398480 is 8489384.

It can be written as a sum of positive squares in 8 ways, for example, as 3936256 + 44462224 = 1984^2 + 6668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 179786 + ... + 180054.

It is an arithmetic number, because the mean of its divisors is an integer number (1529199).

Almost surely, 248398480 is an apocalyptic number.

48398480 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 48398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61167960).

48398480 is an abundant number, since it is smaller than the sum of its proper divisors (73937440).

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

48398480 is a wasteful number, since it uses less digits than its factorization.

48398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 48398480 is about 6956.9016091936. The cubic root of 48398480 is about 364.4270237007.

The spelling of 48398480 in words is "forty-eight million, three hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 173 208 260 269 346 520 538 692 865 1040 1076 1345 1384 1730 2152 2249 2690 2768 3460 3497 4304 4498 5380 6920 6994 8996 10760 11245 13840 13988 17485 17992 21520 22490 27976 34970 35984 44980 46537 55952 69940 89960 93074 139880 179920 186148 232685 279760 372296 465370 604981 744592 930740 1209962 1861480 2419924 3024905 3722960 4839848 6049810 9679696 12099620 24199240 48398480