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1252061604 = 2233313671019
BaseRepresentation
bin100101010100000…
…1111000110100100
310020020222022122000
41022220033012210
510031011432404
6324124005300
743012230243
oct11250170644
93206868560
101252061604
11592835462
122ab390830
1316c522071
14bc40295a
1574dc1339
hex4aa0f1a4

1252061604 has 96 divisors (see below), whose sum is σ = 3363225600. Its totient is φ = 402395040.

The previous prime is 1252061579. The next prime is 1252061609. The reversal of 1252061604 is 4061602521.

1252061604 is a `hidden beast` number, since 1 + 2 + 52 + 0 + 6 + 1 + 604 = 666.

It is a super-4 number, since 4×12520616044 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1252061609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228207 + ... + 1229225.

It is an arithmetic number, because the mean of its divisors is an integer number (35033600).

Almost surely, 21252061604 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 1252061604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681612800).

1252061604 is an abundant number, since it is smaller than the sum of its proper divisors (2111163996).

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

1252061604 is a wasteful number, since it uses less digits than its factorization.

1252061604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1252061604 is about 35384.4825311887. The cubic root of 1252061604 is about 1077.8092318954.

The spelling of 1252061604 in words is "one billion, two hundred fifty-two million, sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 367 372 558 734 837 1019 1101 1116 1468 1674 2038 2202 3057 3303 3348 4076 4404 6114 6606 9171 9909 11377 12228 13212 18342 19818 22754 27513 31589 34131 36684 39636 45508 55026 63178 68262 94767 102393 110052 126356 136524 189534 204786 284301 307179 373973 379068 409572 568602 614358 747946 852903 1121919 1137204 1228716 1495892 1705806 2243838 3365757 3411612 4487676 6731514 10097271 11593163 13463028 20194542 23186326 34779489 40389084 46372652 69558978 104338467 139117956 208676934 313015401 417353868 626030802 1252061604