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997753900 = 2252112136343
BaseRepresentation
bin111011011110001…
…000010000101100
32120112110011001011
4323132020100230
54020411111100
6243001155004
733503524333
oct7336102054
92515404034
10997753900
1147222a300
1223a18ba64
1312b931a30
1496724d1a
155c8dabba
hex3b78842c

997753900 has 108 divisors (see below), whose sum is σ = 2563318576. Its totient is φ = 334857600.

The previous prime is 997753891. The next prime is 997753907. The reversal of 997753900 is 9357799.

It is not an unprimeable number, because it can be changed into a prime (997753907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154129 + ... + 160471.

Almost surely, 2997753900 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 997753900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281659288).

997753900 is an abundant number, since it is smaller than the sum of its proper divisors (1565564676).

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

997753900 is a wasteful number, since it uses less digits than its factorization.

997753900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 535815, while the sum is 49.

The square root of 997753900 is about 31587.2426780180. The cubic root of 997753900 is about 999.2507387478.

The spelling of 997753900 in words is "nine hundred ninety-seven million, seven hundred fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 220 242 260 275 286 325 484 550 572 605 650 715 1100 1210 1300 1430 1573 2420 2860 3025 3146 3575 6050 6292 6343 7150 7865 12100 12686 14300 15730 25372 31460 31715 39325 63430 69773 78650 82459 126860 139546 157300 158575 164918 279092 317150 329836 348865 412295 634300 697730 767503 824590 907049 1395460 1535006 1649180 1744325 1814098 2061475 3070012 3488650 3628196 3837515 4122950 4535245 6977300 7675030 8245900 9070490 9977539 15350060 18140980 19187575 19955078 22676225 38375150 39910156 45352450 49887695 76750300 90704900 99775390 199550780 249438475 498876950 997753900