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51150132 = 223211373491
BaseRepresentation
bin1100001100011…
…1110100110100
310120020200210100
43003013310310
5101043301012
65024154100
71160524515
oct303076464
9116220710
1051150132
1126966940
1215168930
13a79ba67
146b16a0c
1547558dc
hex30c7d34

51150132 has 72 divisors (see below), whose sum is σ = 144904032. Its totient is φ = 15076800.

The previous prime is 51150131. The next prime is 51150133. The reversal of 51150132 is 23105115.

51150132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51150131) and next prime (51150133).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51150131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12907 + ... + 16397.

It is an arithmetic number, because the mean of its divisors is an integer number (2012556).

Almost surely, 251150132 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 51150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72452016).

51150132 is an abundant number, since it is smaller than the sum of its proper divisors (93753900).

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

51150132 is a wasteful number, since it uses less digits than its factorization.

51150132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51150132 is about 7151.9320466570. The cubic root of 51150132 is about 371.2065119281.

Adding to 51150132 its reverse (23105115), we get a palindrome (74255247).

The spelling of 51150132 in words is "fifty-one million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3491 3663 4884 6982 7326 10473 13964 14652 20946 31419 38401 41892 62838 76802 115203 125676 129167 153604 230406 258334 345609 387501 460812 516668 691218 775002 1162503 1382436 1420837 1550004 2325006 2841674 4262511 4650012 5683348 8525022 12787533 17050044 25575066 51150132