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48512646 = 23272134231
BaseRepresentation
bin1011100100001…
…1111010000110
310101021200211200
42321003322012
544404401041
64451443330
71126231200
oct271037206
9111250750
1048512646
11254252a6
12142b6546
13a087410
14662b770
1543d41b6
hex2e43e86

48512646 has 72 divisors (see below), whose sum is σ = 131708304. Its totient is φ = 12791520.

The previous prime is 48512617. The next prime is 48512671. The reversal of 48512646 is 64621584.

48512646 is a `hidden beast` number, since 4 + 8 + 5 + 1 + 2 + 646 = 666.

48512646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48512646.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9351 + ... + 13581.

It is an arithmetic number, because the mean of its divisors is an integer number (1829282).

Almost surely, 248512646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48512646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65854152).

48512646 is an abundant number, since it is smaller than the sum of its proper divisors (83195658).

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

48512646 is a wasteful number, since it uses less digits than its factorization.

48512646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4256 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 48512646 is about 6965.1020093032. The cubic root of 48512646 is about 364.7133447076.

It can be divided in two parts, 485 and 12646, that added together give a palindrome (13131).

The spelling of 48512646 in words is "forty-eight million, five hundred twelve thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 4231 5733 8462 11466 12693 25386 29617 38079 55003 59234 76158 88851 110006 165009 177702 207319 266553 330018 385021 414638 495027 533106 621957 770042 990054 1155063 1243914 1865871 2310126 2695147 3465189 3731742 5390294 6930378 8085441 16170882 24256323 48512646