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551552064 = 26371921599
BaseRepresentation
bin100000111000000…
…000010001000000
31102102211202012020
4200320000101000
52112144131224
6130421401440
716445054340
oct4070002100
91372752166
10551552064
11263378258
12134869280
138a364a8b
1453374d20
153364cc79
hex20e00440

551552064 has 112 divisors (see below), whose sum is σ = 1755648000. Its totient is φ = 149285376.

The previous prime is 551552059. The next prime is 551552077. The reversal of 551552064 is 460255155.

It is a tau number, because it is divible by the number of its divisors (112).

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, 14737 + ... + 36335.

Almost surely, 2551552064 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 551552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824000).

551552064 is an abundant number, since it is smaller than the sum of its proper divisors (1204095936).

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

551552064 is a wasteful number, since it uses less digits than its factorization.

551552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21640 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 551552064 is about 23485.1456031254. The cubic root of 551552064 is about 820.0912371216.

The spelling of 551552064 in words is "five hundred fifty-one million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 21599 25536 43198 64797 86396 129594 151193 172792 259188 302386 345584 410381 453579 518376 604772 691168 820762 907158 1036752 1209544 1231143 1382336 1641524 1814316 2073504 2419088 2462286 2872667 3283048 3628632 4147008 4838176 4924572 5745334 6566096 7257264 8618001 9676352 9849144 11490668 13132192 14514528 17236002 19698288 22981336 26264384 29029056 34472004 39396576 45962672 68944008 78793152 91925344 137888016 183850688 275776032 551552064