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561852240 = 243522710313
BaseRepresentation
bin100001011111010…
…010111101010000
31110011020001101020
4201133102331100
52122313232430
6131430235440
716631444115
oct4137227520
91404201336
10561852240
112691729a4
121381b5b80
138c530161
145489690c
15344d4b10
hex217d2f50

561852240 has 80 divisors (see below), whose sum is σ = 1749584448. Its totient is φ = 149152768.

The previous prime is 561852223. The next prime is 561852251. The reversal of 561852240 is 42258165.

561852240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49324 + ... + 59636.

Almost surely, 2561852240 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 561852240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874792224).

561852240 is an abundant number, since it is smaller than the sum of its proper divisors (1187732208).

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

561852240 is a wasteful number, since it uses less digits than its factorization.

561852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 561852240 is about 23703.4225376843. The cubic root of 561852240 is about 825.1648228996.

The spelling of 561852240 in words is "five hundred sixty-one million, eight hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 9080 10313 10896 13620 18160 20626 27240 30939 41252 51565 54480 61878 82504 103130 123756 154695 165008 206260 247512 309390 412520 495024 618780 825040 1237560 2341051 2475120 4682102 7023153 9364204 11705255 14046306 18728408 23410510 28092612 35115765 37456816 46821020 56185224 70231530 93642040 112370448 140463060 187284080 280926120 561852240