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48745584 = 2433532129
BaseRepresentation
bin1011100111110…
…0110001110000
310101201112101000
42321330301300
544434324314
64500442000
71131221256
oct271746160
9111645330
1048745584
1125574308
12143a9300
13a139454
14668c5d6
15442d209
hex2e7cc70

48745584 has 80 divisors (see below), whose sum is σ = 142624800. Its totient is φ = 15934464.

The previous prime is 48745577. The next prime is 48745589. The reversal of 48745584 is 48554784.

It is a super-2 number, since 2×487455842 = 4752263919002112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48745589) 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, 21832 + ... + 23960.

It is an arithmetic number, because the mean of its divisors is an integer number (1782810).

Almost surely, 248745584 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 48745584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71312400).

48745584 is an abundant number, since it is smaller than the sum of its proper divisors (93879216).

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

48745584 is a wasteful number, since it uses less digits than its factorization.

48745584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2187 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 48745584 is about 6981.8037783942. The cubic root of 48745584 is about 365.2961479666.

The spelling of 48745584 in words is "forty-eight million, seven hundred forty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2129 2544 2862 3816 4258 5724 6387 7632 8516 11448 12774 17032 19161 22896 25548 34064 38322 51096 57483 76644 102192 112837 114966 153288 225674 229932 306576 338511 451348 459864 677022 902696 919728 1015533 1354044 1805392 2031066 2708088 3046599 4062132 5416176 6093198 8124264 12186396 16248528 24372792 48745584