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51151104 = 28321492
BaseRepresentation
bin1100001100100…
…0000100000000
310120020202010100
43003020010000
5101043313404
65024202400
71160530404
oct303100400
9116222110
1051151104
1126967644
1215169400
13a79c334
146b17104
154755d39
hex30c8100

51151104 has 81 divisors (see below), whose sum is σ = 148477693. Its totient is φ = 16935936.

The previous prime is 51151091. The next prime is 51151109. The reversal of 51151104 is 40115115.

It is a happy number.

The square root of 51151104 is 7152.

It is a perfect power (a square), and thus also a powerful number.

51151104 is a `hidden beast` number, since 511 + 51 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5992704 + 45158400 = 2448^2 + 6720^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51151109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 343222 + ... + 343370.

Almost surely, 251151104 is an apocalyptic number.

51151104 is the 7152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51151104

51151104 is an abundant number, since it is smaller than the sum of its proper divisors (97326589).

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

51151104 is an equidigital number, since it uses as much as digits as its factorization.

51151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The cubic root of 51151104 is about 371.2088632446.

Multiplying 51151104 by its product of nonzero digits (100), we get a square (5115110400 = 715202).

Adding to 51151104 its reverse (40115115), we get a palindrome (91266219).

It can be divided in two parts, 511 and 51104, that added together give a palindrome (51615).

The spelling of 51151104 in words is "fifty-one million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 576 596 768 894 1152 1192 1341 1788 2304 2384 2682 3576 4768 5364 7152 9536 10728 14304 19072 21456 22201 28608 38144 42912 44402 57216 66603 85824 88804 114432 133206 171648 177608 199809 266412 343296 355216 399618 532824 710432 799236 1065648 1420864 1598472 2131296 2841728 3196944 4262592 5683456 6393888 8525184 12787776 17050368 25575552 51151104