Search a number
-
+
3542392 = 23717612
BaseRepresentation
bin1101100000110101111000
320122222020201
431200311320
51401324032
6203531544
742052450
oct15406570
96588221
103542392
111aaa4a7
121229bb4
139704b9
14682d60
1549e8e7
hex360d78

3542392 has 48 divisors (see below), whose sum is σ = 8171280. Its totient is φ = 1405440.

The previous prime is 3542387. The next prime is 3542423. The reversal of 3542392 is 2932453.

3542392 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×35423924 (a number of 27 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3542392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58042 + ... + 58102.

It is an arithmetic number, because the mean of its divisors is an integer number (170235).

Almost surely, 23542392 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 3542392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085640).

3542392 is an abundant number, since it is smaller than the sum of its proper divisors (4628888).

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

3542392 is a wasteful number, since it uses less digits than its factorization.

3542392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 87 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 3542392 is about 1882.1243317061. The cubic root of 3542392 is about 152.4399763780.

The spelling of 3542392 in words is "three million, five hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 61 68 119 122 136 238 244 427 476 488 854 952 1037 1708 2074 3416 3721 4148 7259 7442 8296 14518 14884 26047 29036 29768 52094 58072 63257 104188 126514 208376 253028 442799 506056 885598 1771196 3542392