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45716616 = 23331171271
BaseRepresentation
bin1010111001100…
…1010010001000
310012000122102000
42232121102020
543200412431
64311511000
71063404411
oct256312210
9105018360
1045716616
1123895630
1213388460
13961886a
146100808
1540309e6
hex2b99488

45716616 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 13608000.

The previous prime is 45716591. The next prime is 45716623. The reversal of 45716616 is 61661754.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168561 + ... + 168831.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 245716616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45716616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

45716616 is an abundant number, since it is smaller than the sum of its proper divisors (95288184).

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

45716616 is a wasteful number, since it uses less digits than its factorization.

45716616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 45716616 is about 6761.4063625846. The cubic root of 45716616 is about 357.5674894998.

The spelling of 45716616 in words is "forty-five million, seven hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 71 72 88 99 108 132 142 198 213 216 264 271 284 297 396 426 542 568 594 639 781 792 813 852 1084 1188 1278 1562 1626 1704 1917 2168 2343 2376 2439 2556 2981 3124 3252 3834 4686 4878 5112 5962 6248 6504 7029 7317 7668 8943 9372 9756 11924 14058 14634 15336 17886 18744 19241 19512 21087 23848 26829 28116 29268 35772 38482 42174 53658 56232 57723 58536 71544 76964 80487 84348 107316 115446 153928 160974 168696 173169 211651 214632 230892 321948 346338 423302 461784 519507 634953 643896 692676 846604 1039014 1269906 1385352 1693208 1904859 2078028 2539812 3809718 4156056 5079624 5714577 7619436 11429154 15238872 22858308 45716616