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613412416 = 26194710733
BaseRepresentation
bin100100100011111…
…110111001000000
31120202020120122101
4210203332321000
52224013144131
6140511320144
721125630251
oct4443767100
91522216571
10613412416
11295289911
12151520054
139a113736
145b678b28
1538cbbc61
hex248fee40

613412416 has 56 divisors (see below), whose sum is σ = 1308689280. Its totient is φ = 284355072.

The previous prime is 613412399. The next prime is 613412419. The reversal of 613412416 is 614214316.

It is not an unprimeable number, because it can be changed into a prime (613412419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51786 + ... + 62518.

Almost surely, 2613412416 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 613412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654344640).

613412416 is an abundant number, since it is smaller than the sum of its proper divisors (695276864).

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

613412416 is a wasteful number, since it uses less digits than its factorization.

613412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811 (or 10801 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 613412416 is about 24767.1640685808. The cubic root of 613412416 is about 849.6711142850.

The spelling of 613412416 in words is "six hundred thirteen million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 893 1216 1504 1786 3008 3572 7144 10733 14288 21466 28576 42932 57152 85864 171728 203927 343456 407854 504451 686912 815708 1008902 1631416 2017804 3262832 4035608 6525664 8071216 9584569 13051328 16142432 19169138 32284864 38338276 76676552 153353104 306706208 613412416