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1461104052 = 223437379491
BaseRepresentation
bin101011100010110…
…1010110110110100
310202211022202221220
41113011222312310
510443020312202
6400552310340
751131115402
oct12705526664
93684282856
101461104052
1168a834111
123493a23b0
131a3924115
14dc09a472
1588414abc
hex5716adb4

1461104052 has 96 divisors (see below), whose sum is σ = 3588372480. Its totient is φ = 462309120.

The previous prime is 1461104039. The next prime is 1461104093. The reversal of 1461104052 is 2504011641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 2975527 + ... + 2976017.

It is an arithmetic number, because the mean of its divisors is an integer number (37378880).

Almost surely, 21461104052 is an apocalyptic number.

1461104052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1461104052 is an abundant number, since it is smaller than the sum of its proper divisors (2127268428).

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

1461104052 is a wasteful number, since it uses less digits than its factorization.

1461104052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1461104052 is about 38224.3907995929. The cubic root of 1461104052 is about 1134.7330783112.

Adding to 1461104052 its reverse (2504011641), we get a palindrome (3965115693).

The spelling of 1461104052 in words is "one billion, four hundred sixty-one million, one hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 43 73 79 86 129 146 158 172 219 237 258 292 316 438 474 491 516 876 948 982 1473 1964 2946 3139 3397 5767 5892 6278 6794 9417 10191 11534 12556 13588 17301 18834 20382 21113 23068 34602 35843 37668 38789 40764 42226 63339 69204 71686 77578 84452 107529 116367 126678 143372 155156 215058 232734 247981 253356 430116 465468 495962 743943 991924 1487886 1541249 1667927 2831597 2975772 3082498 3335854 4623747 5003781 5663194 6164996 6671708 8494791 9247494 10007562 11326388 16989582 18494988 20015124 33979164 121758671 243517342 365276013 487034684 730552026 1461104052