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609253056 = 2633794463
BaseRepresentation
bin100100010100000…
…111011011000000
31120110102021002000
4210110013123000
52221432044211
6140242224000
721045364656
oct4424073300
91513367060
10609253056
112929a8925
12150055000
13992b8489
145acb4dd6
1538749656
hex245076c0

609253056 has 112 divisors (see below), whose sum is σ = 1814169600. Its totient is φ = 200468736.

The previous prime is 609252997. The next prime is 609253081. The reversal of 609253056 is 650352906.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 609253056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134281 + ... + 138743.

Almost surely, 2609253056 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 609253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

609253056 is an abundant number, since it is smaller than the sum of its proper divisors (1204916544).

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

609253056 is a wasteful number, since it uses less digits than its factorization.

609253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 609253056 is about 24683.0519992970. The cubic root of 609253056 is about 847.7463047910.

The spelling of 609253056 in words is "six hundred nine million, two hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 4463 5056 5688 7584 8532 8926 11376 13389 15168 17064 17852 22752 26778 34128 35704 40167 45504 53556 68256 71408 80334 107112 120501 136512 142816 160668 214224 241002 285632 321336 352577 428448 482004 642672 705154 856896 964008 1057731 1285344 1410308 1928016 2115462 2570688 2820616 3173193 3856032 4230924 5641232 6346386 7712064 8461848 9519579 11282464 12692772 16923696 19039158 22564928 25385544 33847392 38078316 50771088 67694784 76156632 101542176 152313264 203084352 304626528 609253056