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1997795328 = 2123367443
BaseRepresentation
bin111011100010011…
…1111000000000000
312011020012111222120
41313010333000000
513042413422303
6530123404240
7100335660114
oct16704770000
95136174876
101997795328
11935781221
12479083680
1325ab84a19
1414d483744
15ba5c9553
hex7713f000

1997795328 has 104 divisors (see below), whose sum is σ = 5353375488. Its totient is φ = 662618112.

The previous prime is 1997795291. The next prime is 1997795333. The reversal of 1997795328 is 8235977991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4509475 + ... + 4509917.

Almost surely, 21997795328 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 1997795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676687744).

1997795328 is an abundant number, since it is smaller than the sum of its proper divisors (3355580160).

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

1997795328 is an equidigital number, since it uses as much as digits as its factorization.

1997795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 815 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 60.

The square root of 1997795328 is about 44696.7037710836. The cubic root of 1997795328 is about 1259.4579275709.

The spelling of 1997795328 in words is "one billion, nine hundred ninety-seven million, seven hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 367 384 443 512 734 768 886 1024 1101 1329 1468 1536 1772 2048 2202 2658 2936 3072 3544 4096 4404 5316 5872 6144 7088 8808 10632 11744 12288 14176 17616 21264 23488 28352 35232 42528 46976 56704 70464 85056 93952 113408 140928 162581 170112 187904 226816 281856 325162 340224 375808 453632 487743 563712 650324 680448 751616 907264 975486 1127424 1300648 1360896 1503232 1814528 1950972 2254848 2601296 2721792 3901944 4509696 5202592 5443584 7803888 10405184 15607776 20810368 31215552 41620736 62431104 83241472 124862208 166482944 249724416 332965888 499448832 665931776 998897664 1997795328