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52216992 = 2532237883
BaseRepresentation
bin1100011100110…
…0010010100000
310122020220020200
43013030102200
5101331420432
65103105200
71202560062
oct307142240
9118226220
1052216992
1127525443
12155a2200
13aa83539
146d13732
1548b6a7c
hex31cc4a0

52216992 has 72 divisors (see below), whose sum is σ = 154967904. Its totient is φ = 16646784.

The previous prime is 52216987. The next prime is 52216999. The reversal of 52216992 is 29961225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×522169922 = 5453228507056128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52216999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2683 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (2152332).

Almost surely, 252216992 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 52216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77483952).

52216992 is an abundant number, since it is smaller than the sum of its proper divisors (102750912).

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

52216992 is a wasteful number, since it uses less digits than its factorization.

52216992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7911 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 52216992 is about 7226.1325755898. The cubic root of 52216992 is about 373.7695779128.

The spelling of 52216992 in words is "fifty-two million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 7883 15766 23649 31532 47298 63064 70947 94596 126128 141894 181309 189192 252256 283788 362618 378384 543927 567576 725236 756768 1087854 1135152 1450472 1631781 2175708 2270304 2900944 3263562 4351416 5801888 6527124 8702832 13054248 17405664 26108496 52216992