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48074532 = 223112511451
BaseRepresentation
bin1011011101100…
…0111100100100
310100110102212020
42313120330210
544301341112
64434223140
71122424662
oct267307444
9110412766
1048074532
1125156120
1214124ab0
139c62b8c
146555c32
15434948c
hex2dd8f24

48074532 has 48 divisors (see below), whose sum is σ = 122943744. Its totient is φ = 14500000.

The previous prime is 48074519. The next prime is 48074549. The reversal of 48074532 is 23547084.

It is a super-3 number, since 3×480745323 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 48074493 and 48074502.

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, 32407 + ... + 33857.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 248074532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48074532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

48074532 is an abundant number, since it is smaller than the sum of its proper divisors (74869212).

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

48074532 is a wasteful number, since it uses less digits than its factorization.

48074532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 48074532 is about 6933.5800276625. The cubic root of 48074532 is about 363.6121235584.

It can be divided in two parts, 4807 and 4532, that added together give a palindrome (9339).

The spelling of 48074532 in words is "forty-eight million, seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1451 1506 2761 2902 3012 4353 5522 5804 8283 8706 11044 15961 16566 17412 31922 33132 47883 63844 95766 191532 364201 728402 1092603 1456804 2185206 4006211 4370412 8012422 12018633 16024844 24037266 48074532