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1041656252 = 2271343611091
BaseRepresentation
bin111110000101100…
…110100110111100
32200121001121202012
4332011212212330
54113131000002
6251210150352
734545634460
oct7605464674
92617047665
101041656252
11494a9583a
12250a223b8
13137a63860
149c4b24a0
15616add52
hex3e1669bc

1041656252 has 96 divisors (see below), whose sum is σ = 2335517184. Its totient is φ = 395539200.

The previous prime is 1041656251. The next prime is 1041656257. The reversal of 1041656252 is 2526561401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041656251) 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 31 ways as a sum of consecutive naturals, for example, 954227 + ... + 955317.

It is an arithmetic number, because the mean of its divisors is an integer number (24328304).

Almost surely, 21041656252 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 1041656252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167758592).

1041656252 is an abundant number, since it is smaller than the sum of its proper divisors (1293860932).

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

1041656252 is a wasteful number, since it uses less digits than its factorization.

1041656252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1041656252 is about 32274.6998746696. The cubic root of 1041656252 is about 1013.6969542320.

The spelling of 1041656252 in words is "one billion, forty-one million, six hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 43 52 61 86 91 122 172 182 244 301 364 427 559 602 793 854 1091 1118 1204 1586 1708 2182 2236 2623 3172 3913 4364 5246 5551 7637 7826 10492 11102 14183 15274 15652 18361 22204 28366 30548 34099 36722 46913 56732 66551 68198 73444 93826 99281 133102 136396 187652 198562 238693 266204 328391 397124 465857 477386 609869 656782 865163 931714 954772 1219738 1313564 1730326 1863428 2439476 2861693 3460652 4269083 5723386 6056141 8538166 11446772 12112282 17076332 20031851 24224564 37202009 40063702 74404018 80127404 148808036 260414063 520828126 1041656252