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51087232 = 277233767
BaseRepresentation
bin1100001011100…
…0011110000000
310120010111111201
43002320132000
5101034242412
65022550544
71160143240
oct302703600
9116114451
1051087232
1126923659
1215138454
13a779241
146adbb20
154741e57
hex30b8780

51087232 has 128 divisors (see below), whose sum is σ = 126512640. Its totient is φ = 20072448.

The previous prime is 51087191. The next prime is 51087233. The reversal of 51087232 is 23278015.

It is a tau number, because it is divible by the number of its divisors (128).

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 51087232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51087233) 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, 762463 + ... + 762529.

It is an arithmetic number, because the mean of its divisors is an integer number (988380).

Almost surely, 251087232 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 51087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63256320).

51087232 is an abundant number, since it is smaller than the sum of its proper divisors (75425408).

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

51087232 is a wasteful number, since it uses less digits than its factorization.

51087232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 51087232 is about 7147.5332807900. The cubic root of 51087232 is about 371.0542903140.

The spelling of 51087232 in words is "fifty-one million, eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 64 67 74 92 112 128 134 148 161 184 224 259 268 296 322 368 448 469 518 536 592 644 736 851 896 938 1036 1072 1184 1288 1472 1541 1702 1876 2072 2144 2368 2479 2576 2944 3082 3404 3752 4144 4288 4736 4958 5152 5957 6164 6808 7504 8288 8576 9916 10304 10787 11914 12328 13616 15008 16576 17353 19832 20608 21574 23828 24656 27232 30016 33152 34706 39664 43148 47656 49312 54464 57017 60032 69412 79328 86296 95312 98624 108928 114034 138824 158656 172592 190624 197248 228068 277648 317312 345184 381248 399119 456136 555296 690368 762496 798238 912272 1110592 1380736 1596476 1824544 2221184 3192952 3649088 6385904 7298176 12771808 25543616 51087232