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61468758 = 232134143149
BaseRepresentation
bin1110101001111…
…1000001010110
311021122221021200
43222133001112
5111214000013
610033253330
71344322131
oct352370126
9137587250
1061468758
113177442a
1218704246
13c972660
148241218
1555e2e73
hex3a9f056

61468758 has 96 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 17902080.

The previous prime is 61468751. The next prime is 61468769. The reversal of 61468758 is 85786416.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61468751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412468 + ... + 412616.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 261468758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61468758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

61468758 is an abundant number, since it is smaller than the sum of its proper divisors (89882442).

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

61468758 is a wasteful number, since it uses less digits than its factorization.

61468758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 61468758 is about 7840.2014004744. The cubic root of 61468758 is about 394.6554876777.

It can be divided in two parts, 61468 and 758, that added together give a palindrome (62226).

The spelling of 61468758 in words is "sixty-one million, four hundred sixty-eight thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 41 43 78 82 86 117 123 129 149 234 246 258 298 369 387 447 533 559 738 774 894 1066 1118 1341 1599 1677 1763 1937 2682 3198 3354 3526 3874 4797 5031 5289 5811 6109 6407 9594 10062 10578 11622 12218 12814 15867 17433 18327 19221 22919 31734 34866 36654 38442 45838 54981 57663 68757 79417 83291 109962 115326 137514 158834 166582 206271 238251 249873 262687 412542 476502 499746 525374 714753 749619 788061 1429506 1499238 1576122 2364183 3414931 4728366 6829862 10244793 20489586 30734379 61468758