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5048784 = 2433132931
BaseRepresentation
bin10011010000100111010000
3100111111122000
4103100213100
52243030114
6300114000
760625326
oct23204720
910444560
105048784
112939254
121835900
13107a060
14955d16
1569ae09
hex4d09d0

5048784 has 160 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1451520.

The previous prime is 5048783. The next prime is 5048801. The reversal of 5048784 is 4878405.

5048784 is digitally balanced in base 5, 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162849 + ... + 162879.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 25048784 is an apocalyptic number.

5048784 is a gapful number since it is divisible by the number (54) 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 5048784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

5048784 is an abundant number, since it is smaller than the sum of its proper divisors (11616816).

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

5048784 is a wasteful number, since it uses less digits than its factorization.

5048784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5048784 is about 2246.9499326865. The cubic root of 5048784 is about 171.5519255031.

It can be divided in two parts, 5048 and 784, that added together give a cube (5832 = 183).

The spelling of 5048784 in words is "five million, forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 31 36 39 48 52 54 58 62 72 78 87 93 104 108 116 117 124 144 156 174 186 208 216 232 234 248 261 279 312 348 351 372 377 403 432 464 468 496 522 558 624 696 702 744 754 783 806 837 899 936 1044 1116 1131 1209 1392 1404 1488 1508 1566 1612 1674 1798 1872 2088 2232 2262 2418 2697 2808 3016 3132 3224 3348 3393 3596 3627 4176 4464 4524 4836 5394 5616 6032 6264 6448 6696 6786 7192 7254 8091 9048 9672 10179 10788 10881 11687 12528 13392 13572 14384 14508 16182 18096 19344 20358 21576 21762 23374 24273 27144 29016 32364 35061 40716 43152 43524 46748 48546 54288 58032 64728 70122 81432 87048 93496 97092 105183 129456 140244 162864 174096 186992 194184 210366 280488 315549 388368 420732 560976 631098 841464 1262196 1682928 2524392 5048784