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61425012 = 223111731883
BaseRepresentation
bin1110101001010…
…0010101110100
311021120201021110
43222110111310
5111211100022
610032315020
71344050445
oct352242564
9137521243
1061425012
1131744580
12186a2a70
13c95877c
14822d2cc
1555d500c
hex3a94574

61425012 has 96 divisors (see below), whose sum is σ = 171085824. Its totient is φ = 16934400.

The previous prime is 61424953. The next prime is 61425017. The reversal of 61425012 is 21052416.

61425012 = 3692 + 3702 + ... + 6162.

61425012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61425012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61425017) 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, 69123 + ... + 70005.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144).

Almost surely, 261425012 is an apocalyptic number.

61425012 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61425012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912).

61425012 is an abundant number, since it is smaller than the sum of its proper divisors (109660812).

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

61425012 is a wasteful number, since it uses less digits than its factorization.

61425012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61425012 is about 7837.4110521268. The cubic root of 61425012 is about 394.5618428367.

Adding to 61425012 its reverse (21052416), we get a palindrome (82477428).

The spelling of 61425012 in words is "sixty-one million, four hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 682 748 883 1023 1054 1122 1364 1581 1766 2046 2108 2244 2649 3162 3532 4092 5298 5797 6324 9713 10596 11594 15011 17391 19426 23188 27373 29139 30022 34782 38852 45033 54746 58278 60044 69564 82119 90066 109492 116556 164238 165121 180132 301103 328476 330242 465341 495363 602206 660484 903309 930682 990726 1204412 1396023 1806618 1861364 1981452 2792046 3613236 5118751 5584092 10237502 15356253 20475004 30712506 61425012