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450649836 = 2232713151911
BaseRepresentation
bin11010110111000…
…101111011101100
31011101222101100200
4122313011323230
51410331243321
6112414553500
714111313630
oct3267057354
91141871320
10450649836
1121141a98a
12106b08890
1372496710
1443bcadc0
152986ad26
hex1adc5eec

450649836 has 144 divisors (see below), whose sum is σ = 1412855808. Its totient is φ = 117936000.

The previous prime is 450649807. The next prime is 450649873. The reversal of 450649836 is 638946054.

It is a junction number, because it is equal to n+sod(n) for n = 450649791 and 450649800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494221 + ... + 495131.

Almost surely, 2450649836 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 450649836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706427904).

450649836 is an abundant number, since it is smaller than the sum of its proper divisors (962205972).

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

450649836 is a wasteful number, since it uses less digits than its factorization.

450649836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 450649836 is about 21228.5146913297. The cubic root of 450649836 is about 766.6781256846.

The spelling of 450649836 in words is "four hundred fifty million, six hundred forty-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 151 156 182 234 252 273 302 364 453 468 546 604 819 906 911 1057 1092 1359 1638 1812 1822 1963 2114 2718 2733 3171 3276 3644 3926 4228 5436 5466 5889 6342 6377 7852 8199 9513 10932 11778 11843 12684 12754 13741 16398 17667 19026 19131 23556 23686 25508 27482 32796 35334 35529 38052 38262 41223 47372 54964 57393 70668 71058 76524 82446 82901 106587 114786 123669 137561 142116 164892 165802 213174 229572 247338 248703 275122 331604 412683 426348 494676 497406 550244 746109 825366 962927 994812 1238049 1492218 1650732 1788293 1925854 2476098 2888781 2984436 3576586 3851708 4952196 5364879 5777562 7153172 8666343 10729758 11555124 12518051 16094637 17332686 21459516 25036102 32189274 34665372 37554153 50072204 64378548 75108306 112662459 150216612 225324918 450649836