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997132752 = 2432721129443
BaseRepresentation
bin111011011011110…
…000100111010000
32120111021120222200
4323123300213100
54020231222002
6242540003200
733465326400
oct7333604720
92514246880
10997132752
11471945660
12239b30500
1312b7750a5
1496602800
155c816b1c
hex3b6f09d0

997132752 has 360 divisors, whose sum is σ = 3671684640. Its totient is φ = 249500160.

The previous prime is 997132709. The next prime is 997132783. The reversal of 997132752 is 257231799.

It is a super-2 number, since 2×9971327522 = 1988547450222187008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 997132698 and 997132707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2250643 + ... + 2251085.

It is an arithmetic number, because the mean of its divisors is an integer number (10199124).

Almost surely, 2997132752 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 997132752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835842320).

997132752 is an abundant number, since it is smaller than the sum of its proper divisors (2674551888).

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

997132752 is a wasteful number, since it uses less digits than its factorization.

997132752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 997132752 is about 31577.4088867342. The cubic root of 997132752 is about 999.0433357520.

The spelling of 997132752 in words is "nine hundred ninety-seven million, one hundred thirty-two thousand, seven hundred fifty-two".