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48009416 = 2372139421
BaseRepresentation
bin1011011100100…
…1000011001000
310100100010112112
42313021003020
544242300131
64433001452
71122034100
oct267110310
9110303475
1048009416
1125111204
12140b3288
139c3c350
14653a200
15433502b
hex2dc90c8

48009416 has 48 divisors (see below), whose sum is σ = 112781340. Its totient is φ = 18990720.

The previous prime is 48009407. The next prime is 48009427. The reversal of 48009416 is 61490084.

It can be written as a sum of positive squares in 2 ways, for example, as 44222500 + 3786916 = 6650^2 + 1946^2 .

It is a super-2 number, since 2×480094162 = 4609808049322112, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 386 + ... + 9806.

Almost surely, 248009416 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 48009416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56390670).

48009416 is an abundant number, since it is smaller than the sum of its proper divisors (64771924).

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

48009416 is a wasteful number, since it uses less digits than its factorization.

48009416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 48009416 is about 6928.8827382198. The cubic root of 48009416 is about 363.4478809120.

The spelling of 48009416 in words is "forty-eight million, nine thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 9421 18842 37684 65947 75368 122473 131894 244946 263788 461629 489892 527576 857311 923258 979784 1714622 1846516 3429244 3693032 6001177 6858488 12002354 24004708 48009416