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1552050416 = 247191933779
BaseRepresentation
bin101110010000010…
…0110100011110000
311000011110022220202
41130200212203300
511134311103131
6414001454332
753314132220
oct13440464360
94004408822
101552050416
117271014a4
123739413a8
131b9717a37
1410a1b2080
15913cbbcb
hex5c8268f0

1552050416 has 80 divisors (see below), whose sum is σ = 3637267200. Its totient is φ = 626724864.

The previous prime is 1552050407. The next prime is 1552050421. The reversal of 1552050416 is 6140502551.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408815 + ... + 412593.

It is an arithmetic number, because the mean of its divisors is an integer number (45465840).

Almost surely, 21552050416 is an apocalyptic number.

1552050416 is a gapful number since it is divisible by the number (16) 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 1552050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818633600).

1552050416 is an abundant number, since it is smaller than the sum of its proper divisors (2085216784).

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

1552050416 is a wasteful number, since it uses less digits than its factorization.

1552050416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 1552050416 is about 39396.0710731413. The cubic root of 1552050416 is about 1157.8046110562.

Adding to 1552050416 its reverse (6140502551), we get a palindrome (7692552967).

The spelling of 1552050416 in words is "one billion, five hundred fifty-two million, fifty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 193 266 304 386 532 772 1064 1351 1544 2128 2702 3088 3667 3779 5404 7334 7558 10808 14668 15116 21616 25669 26453 29336 30232 51338 52906 58672 60464 71801 102676 105812 143602 205352 211624 287204 410704 423248 502607 574408 729347 1005214 1148816 1458694 2010428 2917388 4020856 5105429 5834776 8041712 10210858 11669552 13857593 20421716 27715186 40843432 55430372 81686864 97003151 110860744 194006302 221721488 388012604 776025208 1552050416