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48075244 = 22719233929
BaseRepresentation
bin1011011101100…
…1000111101100
310100110110211121
42313121013230
544301401434
64434230324
71122430030
oct267310754
9110413747
1048075244
1125156708
12141253a4
139c632b9
1465561c0
1543497b4
hex2dd91ec

48075244 has 48 divisors (see below), whose sum is σ = 105638400. Its totient is φ = 18665856.

The previous prime is 48075241. The next prime is 48075257. The reversal of 48075244 is 44257084.

It is a happy number.

It is a super-3 number, since 3×480752443 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48075241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10272 + ... + 14200.

It is an arithmetic number, because the mean of its divisors is an integer number (2200800).

Almost surely, 248075244 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 48075244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52819200).

48075244 is an abundant number, since it is smaller than the sum of its proper divisors (57563156).

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

48075244 is a wasteful number, since it uses less digits than its factorization.

48075244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 48075244 is about 6933.6313717993. The cubic root of 48075244 is about 363.6139186222.

The spelling of 48075244 in words is "forty-eight million, seventy-five thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 3929 6118 7858 12236 15716 27503 55006 74651 90367 110012 149302 180734 298604 361468 522557 632569 1045114 1265138 1716973 2090228 2530276 3433946 6867892 12018811 24037622 48075244