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52149216 = 2537711093
BaseRepresentation
bin1100011011101…
…1101111100000
310122010110021110
43012323233200
5101322233331
65101423320
71202155350
oct306735740
9118113243
1052149216
1127489529
121556ab40
13aa5b732
146cd6b60
1548a1946
hex31bbbe0

52149216 has 96 divisors (see below), whose sum is σ = 158796288. Its totient is φ = 14676480.

The previous prime is 52149199. The next prime is 52149241. The reversal of 52149216 is 61294125.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47166 + ... + 48258.

It is an arithmetic number, because the mean of its divisors is an integer number (1654128).

Almost surely, 252149216 is an apocalyptic number.

52149216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79398144).

52149216 is an abundant number, since it is smaller than the sum of its proper divisors (106647072).

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

52149216 is a wasteful number, since it uses less digits than its factorization.

52149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 52149216 is about 7221.4414073646. The cubic root of 52149216 is about 373.6077942088.

The spelling of 52149216 in words is "fifty-two million, one hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1093 1136 1491 1704 1988 2186 2272 2982 3279 3408 3976 4372 5964 6558 6816 7651 7952 8744 11928 13116 15302 15904 17488 22953 23856 26232 30604 34976 45906 47712 52464 61208 77603 91812 104928 122416 155206 183624 232809 244832 310412 367248 465618 543221 620824 734496 931236 1086442 1241648 1629663 1862472 2172884 2483296 3259326 3724944 4345768 6518652 7449888 8691536 13037304 17383072 26074608 52149216