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48274416 = 24321372447
BaseRepresentation
bin1011100000100…
…1101111110000
310100211121001100
42320021233300
544324240131
64442404400
71124216511
oct270115760
9110747040
1048274416
1125282313
1214200700
13a002b58
1465a8a08
1543887e6
hex2e09bf0

48274416 has 60 divisors (see below), whose sum is σ = 136143072. Its totient is φ = 15967488.

The previous prime is 48274411. The next prime is 48274427. The reversal of 48274416 is 61447284.

48274416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48274411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18505 + ... + 20951.

Almost surely, 248274416 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 48274416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68071536).

48274416 is an abundant number, since it is smaller than the sum of its proper divisors (87868656).

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

48274416 is a wasteful number, since it uses less digits than its factorization.

48274416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2589 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 48274416 is about 6947.9792745805. The cubic root of 48274416 is about 364.1153681725.

The spelling of 48274416 in words is "forty-eight million, two hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2447 2466 3288 4894 4932 6576 7341 9788 9864 14682 19576 19728 22023 29364 39152 44046 58728 88092 117456 176184 335239 352368 670478 1005717 1340956 2011434 2681912 3017151 4022868 5363824 6034302 8045736 12068604 16091472 24137208 48274416