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51083088 = 2437237587
BaseRepresentation
bin1100001011011…
…1011101010000
310120010021211020
43002313131100
5101034124323
65022515440
71160125200
oct302673520
9116107736
1051083088
1126920531
1215135b80
13a7773a4
146ada400
154740ae3
hex30b7750

51083088 has 120 divisors (see below), whose sum is σ = 157927392. Its totient is φ = 14176512.

The previous prime is 51083041. The next prime is 51083093. The reversal of 51083088 is 88038015.

51083088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 86731 + ... + 87317.

Almost surely, 251083088 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 51083088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78963696).

51083088 is an abundant number, since it is smaller than the sum of its proper divisors (106844304).

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

51083088 is a wasteful number, since it uses less digits than its factorization.

51083088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 51083088 is about 7147.2433846904. The cubic root of 51083088 is about 371.0442572099.

The spelling of 51083088 in words is "fifty-one million, eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 587 588 592 777 784 888 1036 1174 1176 1554 1761 1776 1813 2072 2348 2352 3108 3522 3626 4109 4144 4696 5439 6216 7044 7252 8218 9392 10878 12327 12432 14088 14504 16436 21719 21756 24654 28176 28763 29008 32872 43438 43512 49308 57526 65157 65744 86289 86876 87024 98616 115052 130314 152033 172578 173752 197232 230104 260628 304066 345156 347504 456099 460208 521256 608132 690312 912198 1042512 1064231 1216264 1380624 1824396 2128462 2432528 3192693 3648792 4256924 6385386 7297584 8513848 12770772 17027696 25541544 51083088