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52822016 = 2171331
BaseRepresentation
bin1100100110000…
…0000000000000
310200101122011222
43021200000000
5102010301031
65124054212
71210660022
oct311400000
9120348158
1052822016
11278a8a65
1215834368
13ac35a40
147030012
154985e7b
hex3260000

52822016 has 72 divisors (see below), whose sum is σ = 117440064. Its totient is φ = 23592960.

The previous prime is 52821983. The next prime is 52822039. The reversal of 52822016 is 61022825.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703921 + ... + 1703951.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112).

Almost surely, 252822016 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 52822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58720032).

52822016 is an abundant number, since it is smaller than the sum of its proper divisors (64618048).

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

52822016 is an frugal number, since it uses more digits than its factorization.

52822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 52822016 is about 7267.8756180881. The cubic root of 52822016 is about 375.2076266515.

The spelling of 52822016 in words is "fifty-two million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3224 3328 3968 4096 6448 6656 7936 8192 12896 13312 15872 16384 25792 26624 31744 32768 51584 53248 63488 65536 103168 106496 126976 131072 206336 212992 253952 412672 425984 507904 825344 851968 1015808 1650688 1703936 2031616 3301376 4063232 6602752 13205504 26411008 52822016