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1972248 = 233372221
BaseRepresentation
bin111100001100000011000
310201012102020
413201200120
51001102443
6110134440
722522665
oct7414030
93635366
101972248
111127863
127b1420
13540915
14394a6c
1528e583
hex1e1818

1972248 has 32 divisors (see below), whose sum is σ = 5066160. Its totient is φ = 639360.

The previous prime is 1972247. The next prime is 1972249. The reversal of 1972248 is 8422791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1972247) and next prime (1972249).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 1998.

21972248 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 1972248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533080).

1972248 is an abundant number, since it is smaller than the sum of its proper divisors (3093912).

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

1972248 is a wasteful number, since it uses less digits than its factorization.

1972248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 1972248 is about 1404.3674732776. The cubic root of 1972248 is about 125.4066330952.

The spelling of 1972248 in words is "one million, nine hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 2221 4442 6663 8884 13326 17768 26652 53304 82177 164354 246531 328708 493062 657416 986124 1972248