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48000330 = 23357109233
BaseRepresentation
bin1011011100011…
…0110101001010
310100022200002000
42313012311022
544242002310
64432451430
71121665440
oct267066512
9110280060
1048000330
11251053a4
12140a9b76
139c38181
146536b90
1543324c0
hex2dc6d4a

48000330 has 128 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 10824192.

The previous prime is 48000317. The next prime is 48000343. The reversal of 48000330 is 3300084.

It is an interprime number because it is at equal distance from previous prime (48000317) and next prime (48000343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205894 + ... + 206126.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 248000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

48000330 is an abundant number, since it is smaller than the sum of its proper divisors (100262070).

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

48000330 is a wasteful number, since it uses less digits than its factorization.

48000330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 48000330 is about 6928.2270459332. The cubic root of 48000330 is about 363.4249514115.

The spelling of 48000330 in words is "forty-eight million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 109 126 135 189 210 218 233 270 315 327 378 466 545 630 654 699 763 945 981 1090 1165 1398 1526 1631 1635 1890 1962 2097 2289 2330 2943 3262 3270 3495 3815 4194 4578 4893 4905 5886 6291 6867 6990 7630 8155 9786 9810 10485 11445 12582 13734 14679 14715 16310 20601 20970 22890 24465 25397 29358 29430 31455 34335 41202 44037 48930 50794 62910 68670 73395 76191 88074 103005 126985 146790 152382 177779 206010 220185 228573 253970 355558 380955 440370 457146 533337 685719 761910 888895 1066674 1142865 1371438 1600011 1777790 2285730 2666685 3200022 3428595 4800033 5333370 6857190 8000055 9600066 16000110 24000165 48000330