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609196416 = 2733753809
BaseRepresentation
bin100100010011111…
…001100110000000
31120110022101101020
4210103321212000
52221423241131
6140241105440
721045040563
oct4423714600
91513271336
10609196416
1129296a314
12150028280
139929876a
145ac9c4da
1538737996
hex244f9980

609196416 has 128 divisors (see below), whose sum is σ = 1695362400. Its totient is φ = 193609728.

The previous prime is 609196403. The next prime is 609196429. The reversal of 609196416 is 614691906.

It is an interprime number because it is at equal distance from previous prime (609196403) and next prime (609196429).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6091964162 = 742240546534490112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752620 + ... + 753428.

Almost surely, 2609196416 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 609196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847681200).

609196416 is an abundant number, since it is smaller than the sum of its proper divisors (1086165984).

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

609196416 is a wasteful number, since it uses less digits than its factorization.

609196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 609196416 is about 24681.9046266693. The cubic root of 609196416 is about 847.7200333655.

The spelling of 609196416 in words is "six hundred nine million, one hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 128 148 159 192 212 222 296 318 384 424 444 592 636 809 848 888 1184 1272 1618 1696 1776 1961 2368 2427 2544 3236 3392 3552 3922 4736 4854 5088 5883 6472 6784 7104 7844 9708 10176 11766 12944 14208 15688 19416 20352 23532 25888 29933 31376 38832 42877 47064 51776 59866 62752 77664 85754 89799 94128 103552 119732 125504 128631 155328 171508 179598 188256 239464 251008 257262 310656 343016 359196 376512 478928 514524 686032 718392 753024 957856 1029048 1372064 1436784 1586449 1915712 2058096 2744128 2873568 3172898 3831424 4116192 4759347 5488256 5747136 6345796 8232384 9518694 11494272 12691592 16464768 19037388 25383184 38074776 50766368 76149552 101532736 152299104 203065472 304598208 609196416