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9780252832 = 257234146301
BaseRepresentation
bin10010001101111001…
…01101000010100000
3221020121021022200101
421012330231002200
5130012221042312
64254252432144
7464235530440
oct110674550240
927217238611
109780252832
114169774789
121a8b478654
13bcb30ab6c
1468acc0120
153c3952a57
hex246f2d0a0

9780252832 has 96 divisors (see below), whose sum is σ = 23522897664. Its totient is φ = 3911424000.

The previous prime is 9780252817. The next prime is 9780252893. The reversal of 9780252832 is 2382520879.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188082 + ... + 234382.

It is an arithmetic number, because the mean of its divisors is an integer number (245030184).

Almost surely, 29780252832 is an apocalyptic number.

9780252832 is a gapful number since it is divisible by the number (92) 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 9780252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761448832).

9780252832 is an abundant number, since it is smaller than the sum of its proper divisors (13742644832).

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

9780252832 is a wasteful number, since it uses less digits than its factorization.

9780252832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46382 (or 46374 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 9780252832 is about 98895.1608118415. The cubic root of 9780252832 is about 2138.5366325342.

The spelling of 9780252832 in words is "nine billion, seven hundred eighty million, two hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 82 92 112 161 164 184 224 287 322 328 368 574 644 656 736 943 1148 1288 1312 1886 2296 2576 3772 4592 5152 6601 7544 9184 13202 15088 26404 30176 46301 52808 92602 105616 185204 211232 324107 370408 648214 740816 1064923 1296428 1481632 1898341 2129846 2592856 3796682 4259692 5185712 7454461 7593364 8519384 10371424 13288387 14908922 15186728 17038768 26576774 29817844 30373456 34077536 43661843 53153548 59635688 60746912 87323686 106307096 119271376 174647372 212614192 238542752 305632901 349294744 425228384 611265802 698589488 1222531604 1397178976 2445063208 4890126416 9780252832