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507249132 = 223133787881
BaseRepresentation
bin11110001111000…
…000000111101100
31022100110220222220
4132033000013230
52014323433012
6122200035340
715366355305
oct3617000754
91270426886
10507249132
11240368865
12121a62b50
1381122820
144b5217ac
152e7eb08c
hex1e3c01ec

507249132 has 48 divisors (see below), whose sum is σ = 1309090272. Its totient is φ = 151856640.

The previous prime is 507249131. The next prime is 507249133. The reversal of 507249132 is 231942705.

It is an interprime number because it is at equal distance from previous prime (507249131) and next prime (507249133).

It is a junction number, because it is equal to n+sod(n) for n = 507249093 and 507249102.

It is not an unprimeable number, because it can be changed into a prime (507249131) 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, 38169 + ... + 49712.

It is an arithmetic number, because the mean of its divisors is an integer number (27272714).

Almost surely, 2507249132 is an apocalyptic number.

507249132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

507249132 is an abundant number, since it is smaller than the sum of its proper divisors (801841140).

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

507249132 is a wasteful number, since it uses less digits than its factorization.

507249132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87938 (or 87936 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 507249132 is about 22522.1919892359. The cubic root of 507249132 is about 797.5178965006.

The spelling of 507249132 in words is "five hundred seven million, two hundred forty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 87881 175762 263643 351524 527286 1054572 1142453 2284906 3251597 3427359 4569812 6503194 6854718 9754791 13006388 13709436 19509582 39019164 42270761 84541522 126812283 169083044 253624566 507249132