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48416130 = 234578539
BaseRepresentation
bin1011100010110…
…0010110000010
310101002210110000
42320230112002
544343304010
64445420430
71125346620
oct270542602
9111083400
1048416130
1125369834
121426a716
13a0524c9
146604510
1543b57c0
hex2e2c582

48416130 has 80 divisors (see below), whose sum is σ = 148800960. Its totient is φ = 11065248.

The previous prime is 48416059. The next prime is 48416171. The reversal of 48416130 is 3161484.

48416130 is a `hidden beast` number, since 4 + 8 + 41 + 613 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48416094 and 48416103.

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 39 ways as a sum of consecutive naturals, for example, 1401 + ... + 9939.

It is an arithmetic number, because the mean of its divisors is an integer number (1860012).

Almost surely, 248416130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48416130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400480).

48416130 is an abundant number, since it is smaller than the sum of its proper divisors (100384830).

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

48416130 is a wasteful number, since it uses less digits than its factorization.

48416130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48416130 is about 6958.1700180435. The cubic root of 48416130 is about 364.4713181719.

The spelling of 48416130 in words is "forty-eight million, four hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 8539 17078 25617 42695 51234 59773 76851 85390 119546 128085 153702 179319 230553 256170 298865 358638 384255 461106 537957 597730 691659 768510 896595 1075914 1152765 1383318 1613871 1793190 2305530 2689785 3227742 3458295 4841613 5379570 6916590 8069355 9683226 16138710 24208065 48416130