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96970050 = 23252229941
BaseRepresentation
bin1011100011110…
…10010101000010
320202110120220100
411301322111002
5144311020200
613342223230
72255142342
oct561722502
9222416810
1096970050
114a812041
1228584b16
1317122638
14cc42d22
1587a6d00
hex5c7a542

96970050 has 72 divisors (see below), whose sum is σ = 261941940. Its totient is φ = 25718400.

The previous prime is 96970037. The next prime is 96970073. The reversal of 96970050 is 5007969.

It can be written as a sum of positive squares in 6 ways, for example, as 65464281 + 31505769 = 8091^2 + 5613^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 96969987 and 96970014.

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 35 ways as a sum of consecutive naturals, for example, 102580 + ... + 103520.

Almost surely, 296970050 is an apocalyptic number.

96970050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96970050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130970970).

96970050 is an abundant number, since it is smaller than the sum of its proper divisors (164971890).

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

96970050 is a wasteful number, since it uses less digits than its factorization.

96970050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 96970050 is about 9847.3372035287. The cubic root of 96970050 is about 459.4227952491.

The spelling of 96970050 in words is "ninety-six million, nine hundred seventy thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 229 450 458 687 941 1145 1374 1882 2061 2290 2823 3435 4122 4705 5646 5725 6870 8469 9410 10305 11450 14115 16938 17175 20610 23525 28230 34350 42345 47050 51525 70575 84690 103050 141150 211725 215489 423450 430978 646467 1077445 1292934 1939401 2154890 3232335 3878802 5387225 6464670 9697005 10774450 16161675 19394010 32323350 48485025 96970050