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1972425 = 352713172
BaseRepresentation
bin111100001100011001001
310201012122210
413201203021
51001104200
6110135333
722523340
oct7414311
93635583
101972425
111127a04
127b1549
13540a20
14394b57
1528e650
hex1e18c9

1972425 has 72 divisors (see below), whose sum is σ = 4263616. Its totient is φ = 783360.

The previous prime is 1972423. The next prime is 1972441. The reversal of 1972425 is 5242791.

It is not a de Polignac number, because 1972425 - 21 = 1972423 is a prime.

Its product of digits (5040) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 1972392 and 1972401.

It is not an unprimeable number, because it can be changed into a prime (1972423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116017 + ... + 116033.

21972425 is an apocalyptic number.

1972425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1972425 is an abundant number, since it is smaller than the sum of its proper divisors (2291191).

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

1972425 is a wasteful number, since it uses less digits than its factorization.

1972425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 1972425 is about 1404.4304895580. The cubic root of 1972425 is about 125.4103845351.

The spelling of 1972425 in words is "one million, nine hundred seventy-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 13 15 17 21 25 35 39 51 65 75 85 91 105 119 175 195 221 255 273 289 325 357 425 455 525 595 663 867 975 1105 1275 1365 1445 1547 1785 2023 2275 2975 3315 3757 4335 4641 5525 6069 6825 7225 7735 8925 10115 11271 16575 18785 21675 23205 26299 30345 38675 50575 56355 78897 93925 116025 131495 151725 281775 394485 657475 1972425