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507214092 = 223721127129
BaseRepresentation
bin11110001110110…
…111100100001100
31022100102010221010
4132032313210030
52014321322332
6122155205220
715366151200
oct3616674414
91270363833
10507214092
11240344500
12121a46810
138110c8a8
144b512b00
152e7e09cc
hex1e3b790c

507214092 has 108 divisors (see below), whose sum is σ = 1513470840. Its totient is φ = 131725440.

The previous prime is 507214069. The next prime is 507214117. The reversal of 507214092 is 290412705.

It is a super-2 number, since 2×5072140922 = 514532270246768928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67584 + ... + 74712.

Almost surely, 2507214092 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 507214092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756735420).

507214092 is an abundant number, since it is smaller than the sum of its proper divisors (1006256748).

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

507214092 is a wasteful number, since it uses less digits than its factorization.

507214092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 507214092 is about 22521.4140763852. The cubic root of 507214092 is about 797.4995323025.

Adding to 507214092 its reverse (290412705), we get a palindrome (797626797).

The spelling of 507214092 in words is "five hundred seven million, two hundred fourteen thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 7129 10164 11858 14258 17787 21387 23716 28516 35574 42774 49903 71148 78419 85548 99806 149709 156838 199612 235257 299418 313676 349321 470514 548933 598836 698642 862609 941028 1047963 1097866 1397284 1646799 1725218 2095926 2195732 2587827 3293598 3450436 3842531 4191852 5175654 6038263 6587196 7685062 10351308 11527593 12076526 15370124 18114789 23055186 24153052 36229578 42267841 46110372 72459156 84535682 126803523 169071364 253607046 507214092