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48593340 = 223251032621
BaseRepresentation
bin1011100101011…
…1100110111100
310101102210112100
42321113212330
544414441330
64453305100
71130015355
oct271274674
9111383470
1048593340
112547a994
1214335190
13a0b5073
14664cd2c
1543ed060
hex2e579bc

48593340 has 72 divisors (see below), whose sum is σ = 148887648. Its totient is φ = 12827520.

The previous prime is 48593339. The next prime is 48593341. The reversal of 48593340 is 4339584.

It is an interprime number because it is at equal distance from previous prime (48593339) and next prime (48593341).

It is a super-2 number, since 2×485933402 = 4722625384711200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48593295 and 48593304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48593341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17230 + ... + 19850.

It is an arithmetic number, because the mean of its divisors is an integer number (2067884).

Almost surely, 248593340 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 48593340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74443824).

48593340 is an abundant number, since it is smaller than the sum of its proper divisors (100294308).

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

48593340 is a wasteful number, since it uses less digits than its factorization.

48593340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 48593340 is about 6970.8923388616. The cubic root of 48593340 is about 364.9154492341.

The spelling of 48593340 in words is "forty-eight million, five hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 2621 3090 3708 4635 5242 6180 7863 9270 10484 13105 15726 18540 23589 26210 31452 39315 47178 52420 78630 94356 117945 157260 235890 269963 471780 539926 809889 1079852 1349815 1619778 2429667 2699630 3239556 4049445 4859334 5399260 8098890 9718668 12148335 16197780 24296670 48593340