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649112616 = 23346714951
BaseRepresentation
bin100110101100001…
…010110000101000
31200020102100010000
4212230022300220
52312133100431
6144224423000
722041236415
oct4654126050
91606370100
10649112616
11303452a09
12161477a60
13a4633109
14622cd10c
153bebe9e6
hex26b0ac28

649112616 has 80 divisors (see below), whose sum is σ = 1845375840. Its totient is φ = 213127200.

The previous prime is 649112579. The next prime is 649112617. The reversal of 649112616 is 616211946.

649112616 is a `hidden beast` number, since 649 + 1 + 1 + 2 + 6 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (649112617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35941 + ... + 50891.

It is an arithmetic number, because the mean of its divisors is an integer number (23067198).

Almost surely, 2649112616 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 649112616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922687920).

649112616 is an abundant number, since it is smaller than the sum of its proper divisors (1196263224).

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

649112616 is a wasteful number, since it uses less digits than its factorization.

649112616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15036 (or 15023 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 649112616 is about 25477.6885921781. The cubic root of 649112616 is about 865.8447274983.

The spelling of 649112616 in words is "six hundred forty-nine million, one hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4824 5427 7236 10854 14472 14951 21708 29902 43416 44853 59804 89706 119608 134559 179412 269118 358824 403677 538236 807354 1001717 1076472 1211031 1614708 2003434 2422062 3005151 3229416 4006868 4844124 6010302 8013736 9015453 9688248 12020604 18030906 24041208 27046359 36061812 54092718 72123624 81139077 108185436 162278154 216370872 324556308 649112616