Search a number
-
+
531403552 = 25192157293
BaseRepresentation
bin11111101011001…
…001001100100000
31101000221002122001
4133223021030200
52042014403202
6124421453344
716111566331
oct3753111440
91330832561
10531403552
11252a66399
12129b71254
138612bb94
145080c288
15319bcd87
hex1fac9320

531403552 has 72 divisors (see below), whose sum is σ = 1114987356. Its totient is φ = 249260544.

The previous prime is 531403549. The next prime is 531403559. The reversal of 531403552 is 255304135.

It can be written as a sum of positive squares in 2 ways, for example, as 516380176 + 15023376 = 22724^2 + 3876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 531403552.

It is not an unprimeable number, because it can be changed into a prime (531403559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1813518 + ... + 1813810.

Almost surely, 2531403552 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 531403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557493678).

531403552 is an abundant number, since it is smaller than the sum of its proper divisors (583583804).

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

531403552 is a wasteful number, since it uses less digits than its factorization.

531403552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 531403552 is about 23052.1919131349. The cubic root of 531403552 is about 809.9809739981.

Adding to 531403552 its reverse (255304135), we get a palindrome (786707687).

The spelling of 531403552 in words is "five hundred thirty-one million, four hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 157 293 304 314 361 586 608 628 722 1172 1256 1444 2344 2512 2888 2983 4688 5024 5567 5776 5966 9376 11134 11552 11932 22268 23864 44536 46001 47728 56677 89072 92002 95456 105773 113354 178144 184004 211546 226708 368008 423092 453416 736016 846184 874019 906832 1472032 1692368 1748038 1813664 3384736 3496076 6992152 13984304 16606361 27968608 33212722 66425444 132850888 265701776 531403552