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1053325272 = 233471914889
BaseRepresentation
bin111110110010000…
…111011111011000
32201102000110122010
4332302013133120
54124122402042
6252304225520
735050055106
oct7662073730
92642013563
101053325272
114a063595a
1225490b2a0
1313a2bacbc
149dc6cc76
156271659c
hex3ec877d8

1053325272 has 64 divisors (see below), whose sum is σ = 2703974400. Its totient is φ = 341768960.

The previous prime is 1053325271. The next prime is 1053325303. The reversal of 1053325272 is 2725233501.

It is a happy number.

It is a super-2 number, since 2×10533252722 = 2218988257267747968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053325271) 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, 213004 + ... + 217892.

It is an arithmetic number, because the mean of its divisors is an integer number (42249600).

Almost surely, 21053325272 is an apocalyptic number.

1053325272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053325272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351987200).

1053325272 is an abundant number, since it is smaller than the sum of its proper divisors (1650649128).

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

1053325272 is a wasteful number, since it uses less digits than its factorization.

1053325272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 1053325272 is about 32454.9729933642. The cubic root of 1053325272 is about 1017.4681767379.

Adding to 1053325272 its reverse (2725233501), we get a palindrome (3778558773).

The spelling of 1053325272 in words is "one billion, fifty-three million, three hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 191 282 376 382 564 573 764 1128 1146 1528 2292 4584 4889 8977 9778 14667 17954 19556 26931 29334 35908 39112 53862 58668 71816 107724 117336 215448 229783 459566 689349 919132 933799 1378698 1838264 1867598 2757396 2801397 3735196 5514792 5602794 7470392 11205588 22411176 43888553 87777106 131665659 175554212 263331318 351108424 526662636 1053325272