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5040490224 = 2437112123979
BaseRepresentation
bin1001011000110111…
…11100011011110000
3111000021120102201010
410230123330123300
540310331141344
62152055110520
7235623313530
oct45433743360
914007512633
105040490224
112157252a00
12b88072440
136243675c3
1435b6014c0
151e77a38b9
hex12c6fc6f0

5040490224 has 120 divisors (see below), whose sum is σ = 16357425280. Its totient is φ = 1309207680.

The previous prime is 5040490223. The next prime is 5040490237. The reversal of 5040490224 is 4220940405.

It is a junction number, because it is equal to n+sod(n) for n = 5040490191 and 5040490200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040490223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21334 + ... + 102645.

Almost surely, 25040490224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040490224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178712640).

5040490224 is an abundant number, since it is smaller than the sum of its proper divisors (11316935056).

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

5040490224 is a wasteful number, since it uses less digits than its factorization.

5040490224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124019 (or 124002 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5040490224 is about 70996.4099374046. The cubic root of 5040490224 is about 1714.5793633314.

The spelling of 5040490224 in words is "five billion, forty million, four hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 13552 20328 40656 123979 247958 371937 495916 743874 867853 991832 1363769 1487748 1735706 1983664 2603559 2727538 2975496 3471412 4091307 5207118 5455076 5950992 6942824 8182614 9546383 10414236 10910152 13885648 15001459 16365228 19092766 20828472 21820304 28639149 30002918 32730456 38185532 41656944 45004377 57278298 60005836 65460912 76371064 90008754 105010213 114556596 120011672 152742128 180017508 210020426 229113192 240023344 315030639 360035016 420040852 458226384 630061278 720070032 840081704 1260122556 1680163408 2520245112 5040490224