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920319048 = 2332113972927
BaseRepresentation
bin110110110110101…
…111010001001000
32101010202001101200
4312312233101020
53341100202143
6231153344200
731543403625
oct6666572110
92333661350
10920319048
11432550360
12218268060
1311888c0ac
148a32934c
1555be21d3
hex36daf448

920319048 has 96 divisors (see below), whose sum is σ = 2726904960. Its totient is φ = 278087040.

The previous prime is 920318983. The next prime is 920319053. The reversal of 920319048 is 840913029.

It is a super-2 number, since 2×9203190482 = 1693974300223252608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312961 + ... + 315887.

It is an arithmetic number, because the mean of its divisors is an integer number (28405260).

Almost surely, 2920319048 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 920319048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363452480).

920319048 is an abundant number, since it is smaller than the sum of its proper divisors (1806585912).

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

920319048 is a wasteful number, since it uses less digits than its factorization.

920319048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 920319048 is about 30336.7606708429. The cubic root of 920319048 is about 972.7012416742.

The spelling of 920319048 in words is "nine hundred twenty million, three hundred nineteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 397 792 794 1191 1588 2382 2927 3176 3573 4367 4764 5854 7146 8734 8781 9528 11708 13101 14292 17468 17562 23416 26202 26343 28584 32197 34936 35124 39303 52404 52686 64394 70248 78606 96591 104808 105372 128788 157212 193182 210744 257576 289773 314424 386364 579546 772728 1159092 1162019 2318184 2324038 3486057 4648076 6972114 9296152 10458171 12782209 13944228 20916342 25564418 27888456 38346627 41832684 51128836 76693254 83665368 102257672 115039881 153386508 230079762 306773016 460159524 920319048