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531133152 = 253112412087
BaseRepresentation
bin11111101010000…
…111001011100000
31101000102100201020
4133222013023200
52041432230102
6124412005440
716106362104
oct3752071340
91330370636
10531133152
112528a1220
12129a60880
1386065a94
145077b904
1531967bbc
hex1fa872e0

531133152 has 96 divisors (see below), whose sum is σ = 1528015104. Its totient is φ = 160204800.

The previous prime is 531133151. The next prime is 531133217. The reversal of 531133152 is 251331135.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531133151) 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, 253453 + ... + 255539.

It is an arithmetic number, because the mean of its divisors is an integer number (15916824).

Almost surely, 2531133152 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 531133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764007552).

531133152 is an abundant number, since it is smaller than the sum of its proper divisors (996881952).

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

531133152 is a wasteful number, since it uses less digits than its factorization.

531133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 531133152 is about 23046.3262148222. The cubic root of 531133152 is about 809.8435668031.

Adding to 531133152 its reverse (251331135), we get a palindrome (782464287).

It can be divided in two parts, 53113 and 3152, that added together give a palindrome (56265).

The spelling of 531133152 in words is "five hundred thirty-one million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 241 264 352 482 528 723 964 1056 1446 1928 2087 2651 2892 3856 4174 5302 5784 6261 7712 7953 8348 10604 11568 12522 15906 16696 21208 22957 23136 25044 31812 33392 42416 45914 50088 63624 66784 68871 84832 91828 100176 127248 137742 183656 200352 254496 275484 367312 502967 550968 734624 1005934 1101936 1508901 2011868 2203872 3017802 4023736 5532637 6035604 8047472 11065274 12071208 16094944 16597911 22130548 24142416 33195822 44261096 48284832 66391644 88522192 132783288 177044384 265566576 531133152