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4902031728 = 2432113783641
BaseRepresentation
bin1001001000010111…
…10001000101110000
3110122122001000100200
410210023301011300
540014410003403
62130231315200
7232322403456
oct44413610560
913578030320
104902031728
112096083aa0
12b4981bb00
13601779ab9
1434707c9d6
151da553ca3
hex1242f1170

4902031728 has 120 divisors (see below), whose sum is σ = 15370723056. Its totient is φ = 1445299200.

The previous prime is 4902031721. The next prime is 4902031741. The reversal of 4902031728 is 8271302094.

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

It is a junction number, because it is equal to n+sod(n) for n = 4902031692 and 4902031701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902031721) 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 23 ways as a sum of consecutive naturals, for example, 16788 + ... + 100428.

Almost surely, 24902031728 is an apocalyptic number.

4902031728 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 4902031728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685361528).

4902031728 is an abundant number, since it is smaller than the sum of its proper divisors (10468691328).

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

4902031728 is a wasteful number, since it uses less digits than its factorization.

4902031728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83703 (or 83694 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4902031728 is about 70014.5108388254. The cubic root of 4902031728 is about 1698.7339741222.

The spelling of 4902031728 in words is "four billion, nine hundred two million, thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 83641 167282 250923 334564 501846 669128 752769 920051 1003692 1338256 1505538 1840102 2007384 2760153 3011076 3094717 3680204 4014768 5520306 6022152 6189434 7360408 8280459 9284151 11040612 12044304 12378868 14720816 16560918 18568302 22081224 24757736 27852453 33121836 34041887 37136604 44162448 49515472 55704906 66243672 68083774 74273208 102125661 111409812 132487344 136167548 148546416 204251322 222819624 272335096 306376983 408502644 445639248 544670192 612753966 817005288 1225507932 1634010576 2451015864 4902031728