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616425216 = 28311131557
BaseRepresentation
bin100100101111011…
…110011100000000
31120221220122102120
4210233132130000
52230301101331
6141100044240
721163346031
oct4457363400
91527818376
10616425216
11296a57430
12152533680
139a929b64
145bc20a88
15391b4796
hex24bde700

616425216 has 144 divisors (see below), whose sum is σ = 1806634368. Its totient is φ = 185036800.

The previous prime is 616425211. The next prime is 616425239. The reversal of 616425216 is 612524616.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616425211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106410 + ... + 1106966.

It is an arithmetic number, because the mean of its divisors is an integer number (12546072).

Almost surely, 2616425216 is an apocalyptic number.

616425216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903317184).

616425216 is an abundant number, since it is smaller than the sum of its proper divisors (1190209152).

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

616425216 is a wasteful number, since it uses less digits than its factorization.

616425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 616425216 is about 24827.9120346436. The cubic root of 616425216 is about 851.0599077867.

The spelling of 616425216 in words is "six hundred sixteen million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 256 262 264 352 384 393 524 528 557 704 768 786 1048 1056 1114 1408 1441 1572 1671 2096 2112 2228 2816 2882 3144 3342 4192 4224 4323 4456 5764 6127 6288 6684 8384 8448 8646 8912 11528 12254 12576 13368 16768 17292 17824 18381 23056 24508 25152 26736 33536 34584 35648 36762 46112 49016 50304 53472 69168 71296 72967 73524 92224 98032 100608 106944 138336 142592 145934 147048 184448 196064 213888 218901 276672 291868 294096 368896 392128 427776 437802 553344 583736 588192 784256 802637 875604 1106688 1167472 1176384 1568512 1605274 1751208 2334944 2352768 2407911 3210548 3502416 4669888 4705536 4815822 6421096 7004832 9339776 9631644 12842192 14009664 18679552 19263288 25684384 28019328 38526576 51368768 56038656 77053152 102737536 154106304 205475072 308212608 616425216