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606412416 = 27313711527
BaseRepresentation
bin100100001001010…
…001111010000000
31120021001221110010
4210021101322000
52220220144131
6140101304520
721012264141
oct4411217200
91507057403
10606412416
11291338695
1214b105140
139883251c
145a775ac8
1538387b46
hex24251e80

606412416 has 64 divisors (see below), whose sum is σ = 1622681280. Its totient is φ = 200644608.

The previous prime is 606412409. The next prime is 606412451. The reversal of 606412416 is 614214606.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46845 + ... + 58371.

It is an arithmetic number, because the mean of its divisors is an integer number (25354395).

Almost surely, 2606412416 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 606412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811340640).

606412416 is an abundant number, since it is smaller than the sum of its proper divisors (1016268864).

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

606412416 is a wasteful number, since it uses less digits than its factorization.

606412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 606412416 is about 24625.4424528779. The cubic root of 606412416 is about 846.4267138508.

The spelling of 606412416 in words is "six hundred six million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2192 3288 4384 6576 8768 11527 13152 17536 23054 26304 34581 46108 52608 69162 92216 138324 184432 276648 368864 553296 737728 1106592 1475456 1579199 2213184 3158398 4426368 4737597 6316796 9475194 12633592 18950388 25267184 37900776 50534368 75801552 101068736 151603104 202137472 303206208 606412416