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970938450 = 232522157641
BaseRepresentation
bin111001110111110…
…101100001010010
32111122222210011100
4321313311201102
53442030012300
6240202325230
733026561226
oct7167654122
92448883140
10970938450
11459084479
122311b9816
131262033c1
1492d44786
155a390700
hex39df5852

970938450 has 36 divisors (see below), whose sum is σ = 2608589178. Its totient is φ = 258916800.

The previous prime is 970938433. The next prime is 970938511. The reversal of 970938450 is 54839079.

It can be written as a sum of positive squares in 3 ways, for example, as 840362121 + 130576329 = 28989^2 + 11427^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 970938396 and 970938405.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1078371 + ... + 1079270.

Almost surely, 2970938450 is an apocalyptic number.

970938450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

970938450 is an abundant number, since it is smaller than the sum of its proper divisors (1637650728).

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

970938450 is a wasteful number, since it uses less digits than its factorization.

970938450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157659 (or 2157651 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 970938450 is about 31159.8852693652. The cubic root of 970938450 is about 990.2174300515.

The spelling of 970938450 in words is "nine hundred seventy million, nine hundred thirty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2157641 4315282 6472923 10788205 12945846 19418769 21576410 32364615 38837538 53941025 64729230 97093845 107882050 161823075 194187690 323646150 485469225 970938450