Search a number
-
+
9942048 = 253337311
BaseRepresentation
bin100101111011…
…010000100000
3200201002221000
4211323100200
510021121143
6553032000
7150335364
oct45732040
920632830
109942048
115680676
1233b5600
1320a138c
14146b2a4
15d15bd3
hex97b420

9942048 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3214080.

The previous prime is 9942047. The next prime is 9942067. The reversal of 9942048 is 8402499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9942043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31813 + ... + 32123.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 29942048 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 9942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

9942048 is an abundant number, since it is smaller than the sum of its proper divisors (19935072).

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

9942048 is a wasteful number, since it uses less digits than its factorization.

9942048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9942048 is about 3153.1013304364. The cubic root of 9942048 is about 215.0264831268.

The spelling of 9942048 in words is "nine million, nine hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 311 333 432 444 592 622 666 864 888 933 999 1184 1244 1332 1776 1866 1998 2488 2664 2799 3552 3732 3996 4976 5328 5598 7464 7992 8397 9952 10656 11196 11507 14928 15984 16794 22392 23014 29856 31968 33588 34521 44784 46028 67176 69042 89568 92056 103563 134352 138084 184112 207126 268704 276168 310689 368224 414252 552336 621378 828504 1104672 1242756 1657008 2485512 3314016 4971024 9942048