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2842168032 = 253211281559
BaseRepresentation
bin1010100101101000…
…0000101011100000
321100002001002120200
42221122000223200
521310043334112
61150005305200
7130301013114
oct25132005340
97302032520
102842168032
111229369a00
12673a05200
13363aa2842
141cd67d744
151197b8cdc
hexa9680ae0

2842168032 has 108 divisors (see below), whose sum is σ = 8884086120. Its totient is φ = 861252480.

The previous prime is 2842168031. The next prime is 2842168039. The reversal of 2842168032 is 2308612482.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842168031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5932 + ... + 75627.

Almost surely, 22842168032 is an apocalyptic number.

2842168032 is a gapful number since it is divisible by the number (22) 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 2842168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442043060).

2842168032 is an abundant number, since it is smaller than the sum of its proper divisors (6041918088).

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

2842168032 is a wasteful number, since it uses less digits than its factorization.

2842168032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81597 (or 81575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2842168032 is about 53311.9876950766. The cubic root of 2842168032 is about 1416.5000149308.

The spelling of 2842168032 in words is "two billion, eight hundred forty-two million, one hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 81559 163118 244677 326236 489354 652472 734031 897149 978708 1304944 1468062 1794298 1957416 2609888 2691447 2936124 3588596 3914832 5382894 5872248 7177192 7829664 8074341 9868639 10765788 11744496 14354384 16148682 19737278 21531576 23488992 28708768 29605917 32297364 39474556 43063152 59211834 64594728 78949112 86126304 88817751 118423668 129189456 157898224 177635502 236847336 258378912 315796448 355271004 473694672 710542008 947389344 1421084016 2842168032