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990965248 = 2971321269
BaseRepresentation
bin111011000100001…
…110111000000000
32120001200020202121
4323010032320000
54012141341443
6242155454024
733362031340
oct7304167000
92501606677
10990965248
11469412949
12237a57314
1312a3c5a90
1495878d20
155bee94ed
hex3b10ee00

990965248 has 80 divisors (see below), whose sum is σ = 2437031520. Its totient is φ = 392011776.

The previous prime is 990965219. The next prime is 990965263. The reversal of 990965248 is 842569099.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 990965195 and 990965204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35958 + ... + 57226.

It is an arithmetic number, because the mean of its divisors is an integer number (30462894).

Almost surely, 2990965248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218515760).

990965248 is an abundant number, since it is smaller than the sum of its proper divisors (1446066272).

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

990965248 is a wasteful number, since it uses less digits than its factorization.

990965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21307 (or 21291 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 990965248 is about 31479.6005057243. The cubic root of 990965248 is about 996.9793005625.

It can be divided in two parts, 9909 and 65248, that added together give a palindrome (75157).

The spelling of 990965248 in words is "nine hundred ninety million, nine hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 21269 23296 42538 46592 85076 148883 170152 276497 297766 340304 552994 595532 680608 1105988 1191064 1361216 1935479 2211976 2382128 2722432 3870958 4423952 4764256 5444864 7741916 8847904 9528512 10889728 15483832 17695808 19057024 30967664 35391616 38114048 61935328 70783232 76228096 123870656 141566464 247741312 495482624 990965248