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2007056550 = 2352172812801
BaseRepresentation
bin111011110100001…
…0100000010100110
312011212122000222210
41313220110002212
513102301302200
6531054104250
7100510461552
oct16750240246
95155560883
102007056550
1193aa27324
124801ab086
1325ca78235
141507b4862
15bb308650
hex77a140a6

2007056550 has 96 divisors (see below), whose sum is σ = 5290938144. Its totient is φ = 501760000.

The previous prime is 2007056543. The next prime is 2007056551. The reversal of 2007056550 is 556507002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007056551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715150 + ... + 717950.

It is an arithmetic number, because the mean of its divisors is an integer number (55113939).

Almost surely, 22007056550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007056550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645469072).

2007056550 is an abundant number, since it is smaller than the sum of its proper divisors (3283881594).

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

2007056550 is a wasteful number, since it uses less digits than its factorization.

2007056550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 2007056550 is about 44800.1847094407. The cubic root of 2007056550 is about 1261.4010932381.

The spelling of 2007056550 in words is "two billion, seven million, fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 281 425 510 562 843 850 1275 1405 1686 2550 2801 2810 4215 4777 5602 7025 8403 8430 9554 14005 14050 14331 16806 21075 23885 28010 28662 42015 42150 47617 47770 70025 71655 84030 95234 119425 140050 142851 143310 210075 238085 238850 285702 358275 420150 476170 714255 716550 787081 1190425 1428510 1574162 2361243 2380850 3571275 3935405 4722486 7142550 7870810 11806215 13380377 19677025 23612430 26760754 39354050 40141131 59031075 66901885 80282262 118062150 133803770 200705655 334509425 401411310 669018850 1003528275 2007056550