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1531313424 = 243410872
BaseRepresentation
bin101101101000101…
…1111110100010000
310221201102210010000
41123101133310100
511114004012144
6411541210000
752642643424
oct13321376420
93851383100
101531313424
11716428493
12368a00900
131b5337024
14107534b84
158e682769
hex5b45fd10

1531313424 has 75 divisors (see below), whose sum is σ = 4436146407. Its totient is φ = 509968224.

The previous prime is 1531313411. The next prime is 1531313431. The reversal of 1531313424 is 4243131351.

It is a happy number.

The square root of 1531313424 is 39132.

It is a perfect power (a square), and thus also a powerful number.

1531313424 is a `hidden beast` number, since 1 + 5 + 313 + 1 + 342 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1408209 + ... + 1409295.

Almost surely, 21531313424 is an apocalyptic number.

1531313424 is the 39132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531313424

1531313424 is an abundant number, since it is smaller than the sum of its proper divisors (2904832983).

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

1531313424 is an frugal number, since it uses more digits than its factorization.

1531313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 1092 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The cubic root of 1531313424 is about 1152.6249863901.

Adding to 1531313424 its reverse (4243131351), we get a palindrome (5774444775).

The spelling of 1531313424 in words is "one billion, five hundred thirty-one million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1087 1296 2174 3261 4348 6522 8696 9783 13044 17392 19566 26088 29349 39132 52176 58698 78264 88047 117396 156528 176094 234792 352188 469584 704376 1181569 1408752 2363138 3544707 4726276 7089414 9452552 10634121 14178828 18905104 21268242 28357656 31902363 42536484 56715312 63804726 85072968 95707089 127609452 170145936 191414178 255218904 382828356 510437808 765656712 1531313424