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801340992 = 26332915991
BaseRepresentation
bin101111110000110…
…111111001000000
32001211212100012000
4233300313321000
53120120402432
6211303304000
725600200054
oct5760677100
92054770160
10801340992
11381377391
121a444b000
13ca03238a
14785d7c64
154a53e57c
hex2fc37e40

801340992 has 112 divisors (see below), whose sum is σ = 2437180800. Its totient is φ = 257886720.

The previous prime is 801340937. The next prime is 801340993. The reversal of 801340992 is 299043108.

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

It is not an unprimeable number, because it can be changed into a prime (801340993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42117 + ... + 58107.

Almost surely, 2801340992 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 801340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218590400).

801340992 is an abundant number, since it is smaller than the sum of its proper divisors (1635839808).

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

801340992 is a wasteful number, since it uses less digits than its factorization.

801340992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16025 counting only the distinct ones).

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

The square root of 801340992 is about 28307.9669351227. The cubic root of 801340992 is about 928.8361716311.

The spelling of 801340992 in words is "eight hundred one million, three hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 12528 15991 16704 25056 31982 47973 50112 63964 95946 127928 143919 191892 255856 287838 383784 431757 463739 511712 575676 767568 863514 927478 1023424 1151352 1391217 1535136 1727028 1854956 2302704 2782434 3070272 3454056 3709912 4173651 4605408 5564868 6908112 7419824 8347302 9210816 11129736 12520953 13816224 14839648 16694604 22259472 25041906 27632448 29679296 33389208 44518944 50083812 66778416 89037888 100167624 133556832 200335248 267113664 400670496 801340992