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48313936 = 24112111301
BaseRepresentation
bin1011100001001…
…1011001010000
310100220121021001
42320103121100
544332021221
64443311344
71124442646
oct270233120
9110817231
1048313936
11252a9a80
121421b554
13a017b38
1465b9196
154395391
hex2e13650

48313936 has 40 divisors (see below), whose sum is σ = 102680928. Its totient is φ = 21840000.

The previous prime is 48313927. The next prime is 48313957. The reversal of 48313936 is 63931384.

It is a junction number, because it is equal to n+sod(n) for n = 48313895 and 48313904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36486 + ... + 37786.

Almost surely, 248313936 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 48313936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51340464).

48313936 is an abundant number, since it is smaller than the sum of its proper divisors (54366992).

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

48313936 is a wasteful number, since it uses less digits than its factorization.

48313936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1525 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 48313936 is about 6950.8226851215. The cubic root of 48313936 is about 364.2147024615.

The spelling of 48313936 in words is "forty-eight million, three hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 422 844 1301 1688 2321 2602 3376 4642 5204 9284 10408 14311 18568 20816 28622 37136 57244 114488 228976 274511 549022 1098044 2196088 3019621 4392176 6039242 12078484 24156968 48313936