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505132632 = 233319123083
BaseRepresentation
bin11110000110111…
…011011001011000
31022012111101201000
4132012323121120
52013303221012
6122042425000
715342361614
oct3606733130
91265441630
10505132632
1123a152694
12121202160
1380861364
144b130344
152e52dddc
hex1e1bb658

505132632 has 64 divisors (see below), whose sum is σ = 1477008000. Its totient is φ = 159514272.

The previous prime is 505132619. The next prime is 505132637. The reversal of 505132632 is 236231505.

It is a super-2 number, since 2×5051326322 = 510317951822494848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505132596 and 505132605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505132637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57438 + ... + 65645.

It is an arithmetic number, because the mean of its divisors is an integer number (23078250).

Almost surely, 2505132632 is an apocalyptic number.

It is an amenable number.

505132632 is an abundant number, since it is smaller than the sum of its proper divisors (971875368).

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

505132632 is a wasteful number, since it uses less digits than its factorization.

505132632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123117 (or 123107 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 505132632 is about 22475.1558837753. The cubic root of 505132632 is about 796.4071341327.

The spelling of 505132632 in words is "five hundred five million, one hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 123083 246166 369249 492332 738498 984664 1107747 1476996 2215494 2338577 2953992 3323241 4430988 4677154 6646482 7015731 8861976 9354308 13292964 14031462 18708616 21047193 26585928 28062924 42094386 56125848 63141579 84188772 126283158 168377544 252566316 505132632