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61414542 = 23272179389
BaseRepresentation
bin1110101001000…
…1110010001110
311021120011220200
43222101302032
5111210231132
610032154330
71344005100
oct352216216
9137504820
1061414542
1131737722
12186989a6
13c953a87
148229570
1555d1d7c
hex3a91c8e

61414542 has 72 divisors (see below), whose sum is σ = 156054600. Its totient is φ = 17404128.

The previous prime is 61414537. The next prime is 61414559. The reversal of 61414542 is 24541416.

61414542 is a `hidden beast` number, since 614 + 1 + 4 + 5 + 42 = 666.

61414542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 157684 + ... + 158072.

It is an arithmetic number, because the mean of its divisors is an integer number (2167425).

Almost surely, 261414542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61414542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78027300).

61414542 is an abundant number, since it is smaller than the sum of its proper divisors (94640058).

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

61414542 is a wasteful number, since it uses less digits than its factorization.

61414542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 61414542 is about 7836.7430734968. The cubic root of 61414542 is about 394.5394236457.

Adding to 61414542 its reverse (24541416), we get a palindrome (85955958).

The spelling of 61414542 in words is "sixty-one million, four hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 179 294 358 389 441 537 778 882 1074 1167 1253 1611 2334 2506 2723 3222 3501 3759 5446 7002 7518 8169 8771 11277 16338 17542 19061 22554 24507 26313 38122 49014 52626 57183 69631 78939 114366 139262 157878 171549 208893 343098 417786 487417 626679 974834 1253358 1462251 2924502 3411919 4386753 6823838 8773506 10235757 20471514 30707271 61414542