Search a number
-
+
561250752 = 26361173277
BaseRepresentation
bin100001011101000…
…000000111000000
31110010002111021220
4201131000013000
52122140011002
6131405315040
716623360366
oct4135000700
91403074256
10561250752
112688a1aa7
12137b65a80
138c37c44a
145477b636
15344167bc
hex217401c0

561250752 has 112 divisors (see below), whose sum is σ = 1523524512. Its totient is φ = 182292480.

The previous prime is 561250751. The next prime is 561250757. The reversal of 561250752 is 257052165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561250751) 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, 2026038 + ... + 2026314.

Almost surely, 2561250752 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 561250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761762256).

561250752 is an abundant number, since it is smaller than the sum of its proper divisors (962273760).

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

561250752 is a wasteful number, since it uses less digits than its factorization.

561250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 561250752 is about 23690.7313521554. The cubic root of 561250752 is about 824.8702591203.

The spelling of 561250752 in words is "five hundred sixty-one million, two hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 173 183 192 244 277 346 366 488 519 554 692 732 831 976 1038 1108 1384 1464 1662 1952 2076 2216 2768 2928 3324 3904 4152 4432 5536 5856 6648 8304 8864 10553 11072 11712 13296 16608 16897 17728 21106 26592 31659 33216 33794 42212 47921 50691 53184 63318 67588 84424 95842 101382 126636 135176 143763 168848 191684 202764 253272 270352 287526 337696 383368 405528 506544 540704 575052 675392 766736 811056 1013088 1081408 1150104 1533472 1622112 2026176 2300208 2923181 3066944 3244224 4600416 5846362 8769543 9200832 11692724 17539086 23385448 35078172 46770896 70156344 93541792 140312688 187083584 280625376 561250752