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997537080 = 233519742197
BaseRepresentation
bin111011011101010…
…011010100111000
32120112001010121210
4323131103110320
54020332141310
6242552403120
733501632241
oct7335232470
92515033553
10997537080
114720a1411
1223a0a64a0
1312b887137
14966a9cc8
155c896820
hex3b753538

997537080 has 64 divisors (see below), whose sum is σ = 3007873440. Its totient is φ = 264653312.

The previous prime is 997537061. The next prime is 997537081. The reversal of 997537080 is 80735799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997537081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2542 + ... + 44738.

Almost surely, 2997537080 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 997537080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503936720).

997537080 is an abundant number, since it is smaller than the sum of its proper divisors (2010336360).

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

997537080 is a wasteful number, since it uses less digits than its factorization.

997537080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42408 (or 42404 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 997537080 is about 31583.8104097653. The cubic root of 997537080 is about 999.1783517457.

The spelling of 997537080 in words is "nine hundred ninety-seven million, five hundred thirty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 5910 7880 11820 23640 42197 84394 126591 168788 210985 253182 337576 421970 506364 632955 843940 1012728 1265910 1687880 2531820 5063640 8312809 16625618 24938427 33251236 41564045 49876854 66502472 83128090 99753708 124692135 166256180 199507416 249384270 332512360 498768540 997537080