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1253750004 = 2232134756999
BaseRepresentation
bin100101010111010…
…1011010011110100
310020101011002200100
41022232223103310
510031430000004
6324224114100
743032461553
oct11256532364
93211132610
101253750004
11593788a31
122aba65930
1316c993710
14bc721d9a
1575106739
hex4abab4f4

1253750004 has 72 divisors (see below), whose sum is σ = 3485664000. Its totient is φ = 377554752.

The previous prime is 1253749997. The next prime is 1253750009. The reversal of 1253750004 is 4000573521.

It is a happy number.

1253750004 is a `hidden beast` number, since 125 + 37 + 500 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1253750004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253750009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6504 + ... + 50495.

It is an arithmetic number, because the mean of its divisors is an integer number (48412000).

Almost surely, 21253750004 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 1253750004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832000).

1253750004 is an abundant number, since it is smaller than the sum of its proper divisors (2231913996).

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

1253750004 is a wasteful number, since it uses less digits than its factorization.

1253750004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57069 (or 57064 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1253750004 is about 35408.3324091943. The cubic root of 1253750004 is about 1078.2934880821.

The spelling of 1253750004 in words is "one billion, two hundred fifty-three million, seven hundred fifty thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5499 7332 10998 21996 56999 113998 170997 227996 341994 512991 683988 740987 1025982 1481974 2051964 2222961 2678953 2963948 4445922 5357906 6668883 8036859 8891844 10715812 13337766 16073718 24110577 26675532 32147436 34826389 48221154 69652778 96442308 104479167 139305556 208958334 313437501 417916668 626875002 1253750004