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997918272 = 263313311433
BaseRepresentation
bin111011011110110…
…000011001000000
32120112202111112000
4323132300121000
54020431341042
6243004504000
733505110501
oct7336603100
92515674460
10997918272
1147233184a
1223a24b000
1312b98b7b0
1496768ba8
155c91e74c
hex3b7b0640

997918272 has 224 divisors, whose sum is σ = 3263554560. Its totient is φ = 296939520.

The previous prime is 997918223. The next prime is 997918289. The reversal of 997918272 is 272819799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695668 + ... + 697100.

It is an arithmetic number, because the mean of its divisors is an integer number (14569440).

Almost surely, 2997918272 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 997918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631777280).

997918272 is an abundant number, since it is smaller than the sum of its proper divisors (2265636288).

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

997918272 is a wasteful number, since it uses less digits than its factorization.

997918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 997918272 is about 31589.8444440614. The cubic root of 997918272 is about 999.3056085989.

The spelling of 997918272 in words is "nine hundred ninety-seven million, nine hundred eighteen thousand, two hundred seventy-two".