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48894120 = 233251112347
BaseRepresentation
bin1011101010000…
…1000010101000
310102000002010100
42322201002220
5100004102440
64503545400
71132410312
oct272410250
9112002110
1048894120
1125665970
121445b260
13a18bc42
1466ca7b2
15445c230
hex2ea10a8

48894120 has 96 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 11852160.

The previous prime is 48894119. The next prime is 48894133. The reversal of 48894120 is 2149884.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2214 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 248894120 is an apocalyptic number.

48894120 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 48894120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

48894120 is an abundant number, since it is smaller than the sum of its proper divisors (124471800).

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

48894120 is a wasteful number, since it uses less digits than its factorization.

48894120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12375 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48894120 is about 6992.4330529509. The cubic root of 48894120 is about 365.6668113482. Note that the first 3 decimals are identical.

It can be divided in two parts, 4889 and 4120, that added together give a palindrome (9009).

The spelling of 48894120 in words is "forty-eight million, eight hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 12347 24694 37041 49388 61735 74082 98776 111123 123470 135817 148164 185205 222246 246940 271634 296328 370410 407451 444492 493880 543268 555615 679085 740820 814902 888984 1086536 1111230 1222353 1358170 1481640 1629804 2037255 2222460 2444706 2716340 3259608 4074510 4444920 4889412 5432680 6111765 8149020 9778824 12223530 16298040 24447060 48894120