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3489792 = 214371
BaseRepresentation
bin1101010100000000000000
320120022002120
431110000000
51343133132
6202444240
741443215
oct15240000
96508076
103489792
111a73a29
121203680
13952587
1466bb0c
1548e02c
hex354000

3489792 has 60 divisors (see below), whose sum is σ = 9436896. Its totient is φ = 1146880.

The previous prime is 3489781. The next prime is 3489793. The reversal of 3489792 is 2979843.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49117 + ... + 49187.

Almost surely, 23489792 is an apocalyptic number.

3489792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718448).

3489792 is an abundant number, since it is smaller than the sum of its proper divisors (5947104).

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

3489792 is an frugal number, since it uses more digits than its factorization.

3489792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 3489792 is about 1868.0984984738. The cubic root of 3489792 is about 151.6816977146.

The spelling of 3489792 in words is "three million, four hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2048 2272 3072 3408 4096 4544 6144 6816 8192 9088 12288 13632 16384 18176 24576 27264 36352 49152 54528 72704 109056 145408 218112 290816 436224 581632 872448 1163264 1744896 3489792