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507740744 = 23721498693
BaseRepresentation
bin11110010000111…
…000001001001000
31022101101220100202
4132100320021020
52014440200434
6122214351332
715403503500
oct3620701110
91271356322
10507740744
11240674155
1212205b548
1381265514
144b60ca00
152e896a7e
hex1e438248

507740744 has 48 divisors (see below), whose sum is σ = 1115005500. Its totient is φ = 216117888.

The previous prime is 507740731. The next prime is 507740747. The reversal of 507740744 is 447047705.

It can be written as a sum of positive squares in 2 ways, for example, as 392436100 + 115304644 = 19810^2 + 10738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 507740698 and 507740707.

It is not an unprimeable number, because it can be changed into a prime (507740747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54062 + ... + 62754.

Almost surely, 2507740744 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 507740744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557502750).

507740744 is an abundant number, since it is smaller than the sum of its proper divisors (607264756).

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

507740744 is a wasteful number, since it uses less digits than its factorization.

507740744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 38.

The square root of 507740744 is about 22533.1032927114. The cubic root of 507740744 is about 797.7754574968.

The spelling of 507740744 in words is "five hundred seven million, seven hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 149 196 298 392 596 1043 1192 2086 4172 7301 8344 8693 14602 17386 29204 34772 58408 60851 69544 121702 243404 425957 486808 851914 1295257 1703828 2590514 3407656 5181028 9066799 10362056 18133598 36267196 63467593 72534392 126935186 253870372 507740744