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552460464 = 243216323537
BaseRepresentation
bin100000111011011…
…110000010110000
31102111112220021200
4200323132002300
52112412213324
6130453051200
716455556623
oct4073360260
91374486250
10552460464
112639387a6
12135026b00
138a5c23aa
145352ddba
153377bec9
hex20ede0b0

552460464 has 60 divisors (see below), whose sum is σ = 1555673496. Its totient is φ = 183015936.

The previous prime is 552460459. The next prime is 552460477. The reversal of 552460464 is 464064255.

552460464 is a `hidden beast` number, since 552 + 4 + 60 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11704 + ... + 35240.

Almost surely, 2552460464 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 552460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777836748).

552460464 is an abundant number, since it is smaller than the sum of its proper divisors (1003213032).

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

552460464 is a wasteful number, since it uses less digits than its factorization.

552460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23714 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 552460464 is about 23504.4775308876. The cubic root of 552460464 is about 820.5412171664.

The spelling of 552460464 in words is "five hundred fifty-two million, four hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 5868 7824 11736 23472 23537 47074 70611 94148 141222 188296 211833 282444 376592 423666 564888 847332 1129776 1694664 3389328 3836531 7673062 11509593 15346124 23019186 30692248 34528779 46038372 61384496 69057558 92076744 138115116 184153488 276230232 552460464