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613104464 = 24721979521
BaseRepresentation
bin100100100010110…
…011101101010000
31120201122221012202
4210202303231100
52223423320324
6140500542332
721123205400
oct4442635520
91521587182
10613104464
11295099505
121513b19a8
139a03650b
145b5d8800
1538c5a8ae
hex248b3b50

613104464 has 120 divisors (see below), whose sum is σ = 1475798400. Its totient is φ = 245306880.

The previous prime is 613104433. The next prime is 613104487. The reversal of 613104464 is 464401316.

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 23 ways as a sum of consecutive naturals, for example, 1176524 + ... + 1177044.

It is an arithmetic number, because the mean of its divisors is an integer number (12298320).

Almost surely, 2613104464 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 613104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737899200).

613104464 is an abundant number, since it is smaller than the sum of its proper divisors (862693936).

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

613104464 is a wasteful number, since it uses less digits than its factorization.

613104464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 613104464 is about 24760.9463470199. The cubic root of 613104464 is about 849.5289034270.

The spelling of 613104464 in words is "six hundred thirteen million, one hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 79 98 112 133 152 158 196 266 304 316 392 521 532 553 632 784 931 1042 1064 1106 1264 1501 1862 2084 2128 2212 3002 3647 3724 3871 4168 4424 6004 7294 7448 7742 8336 8848 9899 10507 12008 14588 14896 15484 19798 21014 24016 25529 29176 30968 39596 41159 42028 51058 58352 61936 69293 73549 79192 82318 84056 102116 138586 147098 158384 164636 168112 204232 277172 288113 294196 329272 408464 485051 554344 576226 588392 658544 782021 970102 1108688 1152452 1176784 1564042 1940204 2016791 2304904 3128084 3880408 4033582 4609808 5474147 6256168 7760816 8067164 10948294 12512336 16134328 21896588 32268656 38319029 43793176 76638058 87586352 153276116 306552232 613104464