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2850903920 = 24553838101
BaseRepresentation
bin1010100111101101…
…0101011101110000
321100200110220222002
42221323111131300
521314312411140
61150520433132
7130435166144
oct25173253560
97320426862
102850903920
111233296347
126769187a8
13365840bc7
141d08b5224
1511a442415
hexa9ed5770

2850903920 has 80 divisors (see below), whose sum is σ = 6835624992. Its totient is φ = 1105228800.

The previous prime is 2850903919. The next prime is 2850903929. The reversal of 2850903920 is 293090582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×28509039202 = 16255306322142732800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850903929) 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, 347870 + ... + 355970.

Almost surely, 22850903920 is an apocalyptic number.

2850903920 is a gapful number since it is divisible by the number (20) 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 2850903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417812496).

2850903920 is an abundant number, since it is smaller than the sum of its proper divisors (3984721072).

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

2850903920 is a wasteful number, since it uses less digits than its factorization.

2850903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 2850903920 is about 53393.8565754526. The cubic root of 2850903920 is about 1417.9498153047.

The spelling of 2850903920 in words is "two billion, eight hundred fifty million, nine hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 83 106 166 212 265 332 415 424 530 664 830 848 1060 1328 1660 2120 3320 4240 4399 6640 8101 8798 16202 17596 21995 32404 35192 40505 43990 64808 70384 81010 87980 129616 162020 175960 324040 351920 429353 648080 672383 858706 1344766 1717412 2146765 2689532 3361915 3434824 4293530 5379064 6723830 6869648 8587060 10758128 13447660 17174120 26895320 34348240 35636299 53790640 71272598 142545196 178181495 285090392 356362990 570180784 712725980 1425451960 2850903920