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1952048 = 24729601
BaseRepresentation
bin111011100100100110000
310200011201002
413130210300
5444431143
6105501132
722410050
oct7344460
93604632
101952048
11111366a
127a17a8
13534677
1438b560
152885b8
hex1dc930

1952048 has 40 divisors (see below), whose sum is σ = 4478880. Its totient is φ = 806400.

The previous prime is 1952047. The next prime is 1952053. The reversal of 1952048 is 8402591.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1952048.

It is not an unprimeable number, because it can be changed into a prime (1952047) 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, 2948 + ... + 3548.

It is an arithmetic number, because the mean of its divisors is an integer number (111972).

21952048 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 1952048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239440).

1952048 is an abundant number, since it is smaller than the sum of its proper divisors (2526832).

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

1952048 is a wasteful number, since it uses less digits than its factorization.

1952048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1952048 is about 1397.1571135703. The cubic root of 1952048 is about 124.9770197755.

The spelling of 1952048 in words is "one million, nine hundred fifty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 601 812 1202 1624 2404 3248 4207 4808 8414 9616 16828 17429 33656 34858 67312 69716 122003 139432 244006 278864 488012 976024 1952048