Search a number
-
+
990783528 = 233721749559
BaseRepresentation
bin111011000011100…
…010100000101000
32120001100000111020
4323003202200220
54012120033103
6242151532440
733360343500
oct7303424050
92501300436
10990783528
114692a9369
1223798a120
1312a361157
149582ca00
155beb0753
hex3b0e2828

990783528 has 96 divisors (see below), whose sum is σ = 3050913600. Its totient is φ = 266423808.

The previous prime is 990783527. The next prime is 990783539. The reversal of 990783528 is 825387099.

It is a super-2 number, since 2×9907835282 = 1963303998712253568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (990783527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4788 + ... + 44771.

It is an arithmetic number, because the mean of its divisors is an integer number (31780350).

Almost surely, 2990783528 is an apocalyptic number.

990783528 is a gapful number since it is divisible by the number (98) 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 990783528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525456800).

990783528 is an abundant number, since it is smaller than the sum of its proper divisors (2060130072).

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

990783528 is a wasteful number, since it uses less digits than its factorization.

990783528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49599 (or 49588 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 990783528 is about 31476.7140597617. The cubic root of 990783528 is about 996.9183558912.

The spelling of 990783528 in words is "nine hundred ninety million, seven hundred eighty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 19992 49559 99118 148677 198236 297354 346913 396472 594708 693826 842503 1040739 1189416 1387652 1685006 2081478 2428391 2527509 2775304 3370012 4162956 4856782 5055018 5897521 6740024 7285173 8325912 9713564 10110036 11795042 14570346 17692563 19427128 20220072 23590084 29140692 35385126 41282647 47180168 58281384 70770252 82565294 123847941 141540504 165130588 247695882 330261176 495391764 990783528