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4941648 = 24353141
BaseRepresentation
bin10010110110011101010000
3100022001200000
4102312131100
52231113043
6253530000
760001065
oct22663520
910261600
104941648
112875808
1217a3900
13104036a
14928c6c
156792d3
hex4b6750

4941648 has 120 divisors (see below), whose sum is σ = 15165696. Its totient is φ = 1555200.

The previous prime is 4941641. The next prime is 4941649. The reversal of 4941648 is 8461494.

It is a happy number.

4941648 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4941641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120508 + ... + 120548.

Almost surely, 24941648 is an apocalyptic number.

4941648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4941648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582848).

4941648 is an abundant number, since it is smaller than the sum of its proper divisors (10224048).

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

4941648 is a wasteful number, since it uses less digits than its factorization.

4941648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4941648 is about 2222.9817813019. The cubic root of 4941648 is about 170.3297865853.

The spelling of 4941648 in words is "four million, nine hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 41 48 54 62 72 81 82 93 108 123 124 144 162 164 186 216 243 246 248 279 324 328 369 372 432 486 492 496 558 648 656 738 744 837 972 984 1107 1116 1271 1296 1476 1488 1674 1944 1968 2214 2232 2511 2542 2952 3321 3348 3813 3888 4428 4464 5022 5084 5904 6642 6696 7533 7626 8856 9963 10044 10168 11439 13284 13392 15066 15252 17712 19926 20088 20336 22878 26568 30132 30504 34317 39852 40176 45756 53136 60264 61008 68634 79704 91512 102951 120528 137268 159408 183024 205902 274536 308853 411804 549072 617706 823608 1235412 1647216 2470824 4941648