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1252231968 = 253131759023
BaseRepresentation
bin100101010100011…
…1000101100100000
310020021021222022210
41022220320230200
510031032410333
6324131402120
743013540031
oct11250705440
93207258283
101252231968
11592941459
122ab453340
1316c581780
14bc448a88
1574e06a63
hex4aa38b20

1252231968 has 96 divisors (see below), whose sum is σ = 3748260096. Its totient is φ = 362631168.

The previous prime is 1252231921. The next prime is 1252231969. The reversal of 1252231968 is 8691322521.

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 (39).

It is not an unprimeable number, because it can be changed into a prime (1252231969) 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, 8296 + ... + 50727.

It is an arithmetic number, because the mean of its divisors is an integer number (39044376).

Almost surely, 21252231968 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 1252231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874130048).

1252231968 is an abundant number, since it is smaller than the sum of its proper divisors (2496028128).

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

1252231968 is a wasteful number, since it uses less digits than its factorization.

1252231968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59066 (or 59058 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 1252231968 is about 35386.8897757347. The cubic root of 1252231968 is about 1077.8581143582.

The spelling of 1252231968 in words is "one billion, two hundred fifty-two million, two hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 59023 118046 177069 236092 354138 472184 708276 767299 944368 1003391 1416552 1534598 1888736 2006782 2301897 2833104 3010173 3069196 4013564 4603794 5666208 6020346 6138392 8027128 9207588 12040692 12276784 13044083 16054256 18415176 24081384 24553568 26088166 32108512 36830352 39132249 48162768 52176332 73660704 78264498 96325536 104352664 156528996 208705328 313057992 417410656 626115984 1252231968