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31253664 = 2531379317
BaseRepresentation
bin111011100111…
…0010010100000
32011210211222010
41313032102200
531000104124
63033512520
7526436361
oct167162240
964724863
1031253664
1116707382
12a572740
1366237c0
144217b68
152b25529
hex1dce4a0

31253664 has 96 divisors (see below), whose sum is σ = 89752320. Its totient is φ = 9464832.

The previous prime is 31253639. The next prime is 31253669. The reversal of 31253664 is 46635213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31253669) 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, 98434 + ... + 98750.

It is an arithmetic number, because the mean of its divisors is an integer number (934920).

Almost surely, 231253664 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 31253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876160).

31253664 is an abundant number, since it is smaller than the sum of its proper divisors (58498656).

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

31253664 is a wasteful number, since it uses less digits than its factorization.

31253664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 31253664 is about 5590.4976522667. The cubic root of 31253664 is about 314.9925722612.

Adding to 31253664 its reverse (46635213), we get a palindrome (77888877).

The spelling of 31253664 in words is "thirty-one million, two hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 317 416 474 624 632 634 948 951 1027 1248 1264 1268 1896 1902 2054 2528 2536 3081 3792 3804 4108 4121 5072 6162 7584 7608 8216 8242 10144 12324 12363 15216 16432 16484 24648 24726 25043 30432 32864 32968 49296 49452 50086 65936 75129 98592 98904 100172 131872 150258 197808 200344 300516 325559 395616 400688 601032 651118 801376 976677 1202064 1302236 1953354 2404128 2604472 3906708 5208944 7813416 10417888 15626832 31253664