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48098960 = 2457136607
BaseRepresentation
bin1011011101111…
…0111010010000
310100111200100222
42313132322100
544303131320
64434532212
71122556130
oct267367220
9110450328
1048098960
1125172508
1214137068
139c71030
146560ac0
154351825
hex2ddee90

48098960 has 80 divisors (see below), whose sum is σ = 137657856. Its totient is φ = 15220224.

The previous prime is 48098959. The next prime is 48098971. The reversal of 48098960 is 6989084.

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

It is a super-3 number, since 3×480989603 (a number of 24 digits) contains 333 as substring.

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, 3977 + ... + 10583.

Almost surely, 248098960 is an apocalyptic number.

48098960 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 48098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68828928).

48098960 is an abundant number, since it is smaller than the sum of its proper divisors (89558896).

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

48098960 is a wasteful number, since it uses less digits than its factorization.

48098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 48098960 is about 6935.3413758805. The cubic root of 48098960 is about 363.6737002572.

The spelling of 48098960 in words is "forty-eight million, ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 6607 7280 13214 26428 33035 46249 52856 66070 85891 92498 105712 132140 171782 184996 231245 264280 343564 369992 429455 462490 528560 601237 687128 739984 858910 924980 1202474 1374256 1717820 1849960 2404948 3006185 3435640 3699920 4809896 6012370 6871280 9619792 12024740 24049480 48098960