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1253053344 = 253192923689
BaseRepresentation
bin100101010110000…
…0001001110100000
310020022211201001010
41022230001032200
510031240201334
6324201140520
743023530514
oct11254011640
93208751033
101253053344
11593352584
122ab78a740
1316c7ab5aa
14bc5c0144
157501a0e9
hex4ab013a0

1253053344 has 96 divisors (see below), whose sum is σ = 3581928000. Its totient is φ = 382040064.

The previous prime is 1253053343. The next prime is 1253053367. The reversal of 1253053344 is 4433503521.

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

It is not an unprimeable number, because it can be changed into a prime (1253053343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41052 + ... + 64740.

It is an arithmetic number, because the mean of its divisors is an integer number (37311750).

Almost surely, 21253053344 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 1253053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790964000).

1253053344 is an abundant number, since it is smaller than the sum of its proper divisors (2328874656).

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

1253053344 is a wasteful number, since it uses less digits than its factorization.

1253053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23750 (or 23742 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1253053344 is about 35398.4935272675. The cubic root of 1253053344 is about 1078.0937291934.

Adding to 1253053344 its reverse (4433503521), we get a palindrome (5686556865).

The spelling of 1253053344 in words is "one billion, two hundred fifty-three million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 23689 26448 47378 52896 71067 94756 142134 189512 284268 379024 450091 568536 686981 758048 900182 1137072 1350273 1373962 1800364 2060943 2274144 2700546 2747924 3600728 4121886 5401092 5495848 7201456 8243772 10802184 10991696 13052639 14402912 16487544 21604368 21983392 26105278 32975088 39157917 43208736 52210556 65950176 78315834 104421112 156631668 208842224 313263336 417684448 626526672 1253053344