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52617330 = 23352337229
BaseRepresentation
bin1100100010111…
…0000001110010
310200000020102000
43020232001302
5101432223310
65115434430
71206145203
oct310560162
9120006360
1052617330
11277791a7
1215755a16
13ab9381c
146db95aa
1549454c0
hex322e072

52617330 has 128 divisors (see below), whose sum is σ = 151027200. Its totient is φ = 13001472.

The previous prime is 52617317. The next prime is 52617343. The reversal of 52617330 is 3371625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52617317) and next prime (52617343).

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

It is a junction number, because it is equal to n+sod(n) for n = 52617294 and 52617303.

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 63 ways as a sum of consecutive naturals, for example, 229656 + ... + 229884.

It is an arithmetic number, because the mean of its divisors is an integer number (1179900).

Almost surely, 252617330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52617330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75513600).

52617330 is an abundant number, since it is smaller than the sum of its proper divisors (98409870).

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

52617330 is a wasteful number, since it uses less digits than its factorization.

52617330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 52617330 is about 7253.7803936982. The cubic root of 52617330 is about 374.7223544853.

Adding to 52617330 its reverse (3371625), we get a palindrome (55988955).

The spelling of 52617330 in words is "fifty-two million, six hundred seventeen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 229 230 270 333 345 370 414 458 555 621 666 687 690 851 999 1035 1110 1145 1242 1374 1665 1702 1998 2061 2070 2290 2553 3105 3330 3435 4122 4255 4995 5106 5267 6183 6210 6870 7659 8473 8510 9990 10305 10534 12366 12765 15318 15801 16946 20610 22977 25419 25530 26335 30915 31602 38295 42365 45954 47403 50838 52670 61830 76257 76590 79005 84730 94806 114885 127095 142209 152514 158010 194879 228771 229770 237015 254190 284418 381285 389758 457542 474030 584637 711045 762570 974395 1143855 1169274 1422090 1753911 1948790 2287710 2923185 3507822 5261733 5846370 8769555 10523466 17539110 26308665 52617330