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890193216 = 26311421493
BaseRepresentation
bin110101000011110…
…100010101000000
32022001001111112010
4311003310111000
53310342140331
6224155532520
731026342333
oct6503642500
92261044463
10890193216
11417544380
1220a15a140
13112571a63
148632661a
1553240e46
hex350f4540

890193216 has 56 divisors (see below), whose sum is σ = 2569427424. Its totient is φ = 269754880.

The previous prime is 890193211. The next prime is 890193229. The reversal of 890193216 is 612391098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890193211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208635 + ... + 212858.

Almost surely, 2890193216 is an apocalyptic number.

It is an amenable number.

890193216 is an abundant number, since it is smaller than the sum of its proper divisors (1679234208).

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

890193216 is a wasteful number, since it uses less digits than its factorization.

890193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421519 (or 421509 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 890193216 is about 29836.1059121327. The cubic root of 890193216 is about 961.9697749994.

It can be divided in two parts, 89019 and 3216, that added together give a triangular number (92235 = T429).

The spelling of 890193216 in words is "eight hundred ninety million, one hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 421493 842986 1264479 1685972 2528958 3371944 4636423 5057916 6743888 9272846 10115832 13487776 13909269 18545692 20231664 26975552 27818538 37091384 40463328 55637076 74182768 80926656 111274152 148365536 222548304 296731072 445096608 890193216