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52198016 = 2713219127
BaseRepresentation
bin1100011100011…
…1101010000000
310122012221012212
43013013222000
5101330314031
65102441252
71202450543
oct307075200
9118187185
1052198016
1127512162
1215593228
13aa77a00
146d0a85a
1548b112b
hex31c7a80

52198016 has 96 divisors (see below), whose sum is σ = 119462400. Its totient is φ = 22643712.

The previous prime is 52197983. The next prime is 52198033. The reversal of 52198016 is 61089125.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410945 + ... + 411071.

It is an arithmetic number, because the mean of its divisors is an integer number (1244400).

Almost surely, 252198016 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 52198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59731200).

52198016 is an abundant number, since it is smaller than the sum of its proper divisors (67264384).

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

52198016 is a wasteful number, since it uses less digits than its factorization.

52198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 52198016 is about 7224.8194441107. The cubic root of 52198016 is about 373.7242956488.

The spelling of 52198016 in words is "fifty-two million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 127 128 152 169 208 247 254 304 338 416 494 508 608 676 832 988 1016 1216 1352 1651 1664 1976 2032 2413 2432 2704 3211 3302 3952 4064 4826 5408 6422 6604 7904 8128 9652 10816 12844 13208 15808 16256 19304 21463 21632 25688 26416 31369 31616 38608 42926 51376 52832 62738 77216 85852 102752 105664 125476 154432 171704 205504 211328 250952 308864 343408 407797 411008 501904 686816 815594 1003808 1373632 1631188 2007616 2747264 3262376 4015232 6524752 13049504 26099008 52198016