Search a number
-
+
552597504 = 2113531697
BaseRepresentation
bin100000111011111…
…111100000000000
31102111210212021020
4200323333200000
52112431110004
6130500025440
716460000304
oct4073774000
91374725236
10552597504
11263a21758
12135092280
138a63c894
1453567d04
15337a78d9
hex20eff800

552597504 has 96 divisors (see below), whose sum is σ = 1501914960. Its totient is φ = 180617216.

The previous prime is 552597499. The next prime is 552597527. The reversal of 552597504 is 405795255.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 324784 + ... + 326480.

Almost surely, 2552597504 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 552597504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750957480).

552597504 is an abundant number, since it is smaller than the sum of its proper divisors (949317456).

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

552597504 is a wasteful number, since it uses less digits than its factorization.

552597504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The square root of 552597504 is about 23507.3925393694. The cubic root of 552597504 is about 820.6090577205.

The spelling of 552597504 in words is "five hundred fifty-two million, five hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 1697 2048 2544 3072 3392 3394 5088 5091 6144 6784 6788 10176 10182 13568 13576 20352 20364 27136 27152 40704 40728 54272 54304 81408 81456 89941 108544 108608 162816 162912 179882 217216 269823 325632 325824 359764 434432 539646 651648 719528 868864 1079292 1303296 1439056 1737728 2158584 2606592 2878112 3475456 4317168 5213184 5756224 8634336 10426368 11512448 17268672 23024896 34537344 46049792 69074688 92099584 138149376 184199168 276298752 552597504