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48654816 = 2537174259
BaseRepresentation
bin1011100110011…
…0100111100000
310101112220212020
42321212213200
544423423231
64454501440
71130362530
oct271464740
9111486766
1048654816
11255120a1
1214364880
13a107042
1466674c0
154411396
hex2e669e0

48654816 has 96 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 13080576.

The previous prime is 48654811. The next prime is 48654817. The reversal of 48654816 is 61845684.

48654816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×486548162 = 4734582239987712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48654811) 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 15 ways as a sum of consecutive naturals, for example, 9295 + ... + 13553.

It is an arithmetic number, because the mean of its divisors is an integer number (1610280).

Almost surely, 248654816 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 48654816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77293440).

48654816 is an abundant number, since it is smaller than the sum of its proper divisors (105932064).

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

48654816 is a wasteful number, since it uses less digits than its factorization.

48654816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 48654816 is about 6975.3004236377. The cubic root of 48654816 is about 365.0692706459.

The spelling of 48654816 in words is "forty-eight million, six hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 4259 5712 8518 11424 12777 17036 25554 29813 34072 51108 59626 68144 72403 89439 102216 119252 136288 144806 178878 204432 217209 238504 289612 357756 408864 434418 477008 506821 579224 715512 868836 954016 1013642 1158448 1431024 1520463 1737672 2027284 2316896 2862048 3040926 3475344 4054568 6081852 6950688 8109136 12163704 16218272 24327408 48654816