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52094016 = 263413773
BaseRepresentation
bin1100011010111…
…0010001000000
310122000122120000
43012232101000
5101314002031
65100320000
71201535412
oct306562100
9118018500
1052094016
1127451007
1215543000
13aa3c580
146cc09b2
1548903e6
hex31ae440

52094016 has 140 divisors (see below), whose sum is σ = 166516812. Its totient is φ = 16008192.

The previous prime is 52093963. The next prime is 52094023. The reversal of 52094016 is 61049025.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 46785600 = 2304^2 + 6840^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67006 + ... + 67778.

Almost surely, 252094016 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 52094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83258406).

52094016 is an abundant number, since it is smaller than the sum of its proper divisors (114422796).

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

52094016 is a wasteful number, since it uses less digits than its factorization.

52094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 52094016 is about 7217.6184437805. The cubic root of 52094016 is about 373.4759262560.

The spelling of 52094016 in words is "fifty-two million, ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 773 832 864 936 1053 1248 1296 1404 1546 1728 1872 2106 2319 2496 2592 2808 3092 3744 4212 4638 5184 5616 6184 6957 7488 8424 9276 10049 11232 12368 13914 16848 18552 20098 20871 22464 24736 27828 30147 33696 37104 40196 41742 49472 55656 60294 62613 67392 74208 80392 83484 90441 111312 120588 125226 148416 160784 166968 180882 222624 241176 250452 271323 321568 333936 361764 445248 482352 500904 542646 643136 667872 723528 813969 964704 1001808 1085292 1335744 1447056 1627938 1929408 2003616 2170584 2894112 3255876 4007232 4341168 5788224 6511752 8682336 13023504 17364672 26047008 52094016