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61465338 = 23311223409
BaseRepresentation
bin1110101001111…
…0001011111010
311021122202121000
43222132023322
5111213342323
610033225430
71344306144
oct352361372
9137582530
1061465338
1131771900
1218702276
13c970c2c
14823dc94
1555e1e43
hex3a9e2fa

61465338 has 96 divisors (see below), whose sum is σ = 157046400. Its totient is φ = 17772480.

The previous prime is 61465321. The next prime is 61465351. The reversal of 61465338 is 83356416.

61465338 is a `hidden beast` number, since 614 + 6 + 5 + 3 + 38 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150078 + ... + 150486.

It is an arithmetic number, because the mean of its divisors is an integer number (1635900).

Almost surely, 261465338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61465338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78523200).

61465338 is an abundant number, since it is smaller than the sum of its proper divisors (95581062).

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

61465338 is a wasteful number, since it uses less digits than its factorization.

61465338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 61465338 is about 7839.9832907985. The cubic root of 61465338 is about 394.6481682586.

The spelling of 61465338 in words is "sixty-one million, four hundred sixty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 121 138 198 207 242 253 297 363 409 414 506 594 621 726 759 818 1089 1227 1242 1518 2178 2277 2454 2783 3267 3681 4499 4554 5566 6534 6831 7362 8349 8998 9407 11043 13497 13662 16698 18814 22086 25047 26994 28221 40491 49489 50094 56442 75141 80982 84663 98978 103477 121473 148467 150282 169326 206954 242946 253989 296934 310431 445401 507978 620862 890802 931293 1138247 1336203 1862586 2276494 2672406 2793879 3414741 5587758 6829482 10244223 20488446 30732669 61465338