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537466116 = 2231123243179
BaseRepresentation
bin100000000010010…
…001010100000100
31101110100002220110
4200002101110010
52100042403431
6125155433020
716214246415
oct4002212404
91343302813
10537466116
11256427280
1212bbb5770
13874724b5
145154980c
15322b9346
hex20091504

537466116 has 144 divisors (see below), whose sum is σ = 1471599360. Its totient is φ = 151314240.

The previous prime is 537466037. The next prime is 537466121. The reversal of 537466116 is 611664735.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002515 + ... + 3002693.

It is an arithmetic number, because the mean of its divisors is an integer number (10219440).

Almost surely, 2537466116 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 537466116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735799680).

537466116 is an abundant number, since it is smaller than the sum of its proper divisors (934133244).

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

537466116 is a wasteful number, since it uses less digits than its factorization.

537466116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 537466116 is about 23183.3154660847. The cubic root of 537466116 is about 813.0495802397.

The spelling of 537466116 in words is "five hundred thirty-seven million, four hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 179 253 258 276 358 473 506 516 529 537 716 759 946 989 1012 1058 1074 1419 1518 1587 1892 1969 1978 2116 2148 2838 2967 3036 3174 3938 3956 4117 5676 5819 5907 5934 6348 7697 7876 8234 10879 11638 11814 11868 12351 15394 16468 17457 21758 22747 23091 23276 23628 24702 30788 32637 34914 43516 45287 45494 46182 49404 65274 68241 69828 84667 90574 90988 92364 94691 130548 135861 136482 169334 177031 181148 189382 250217 254001 271722 272964 284073 338668 354062 378764 500434 508002 531093 543444 568146 708124 750651 1000868 1016004 1041601 1062186 1136292 1501302 1947341 2083202 2124372 3002604 3124803 3894682 4071713 4166404 5842023 6249606 7789364 8143426 11684046 12215139 12499212 16286852 23368092 24430278 44788843 48860556 89577686 134366529 179155372 268733058 537466116