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552986352 = 2435413469
BaseRepresentation
bin100000111101011…
…110011011110000
31102112112121200000
4200331132123300
52113031030402
6130512230000
716463210052
oct4075363360
91375477600
10552986352
11264167916
1213523b300
138a747879
14536298d2
1533832c1c
hex20f5e6f0

552986352 has 120 divisors (see below), whose sum is σ = 1644530160. Its totient is φ = 179781120.

The previous prime is 552986351. The next prime is 552986359. The reversal of 552986352 is 253689255.

552986352 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 8 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 552986298 and 552986307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552986351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157674 + ... + 161142.

It is an arithmetic number, because the mean of its divisors is an integer number (13704418).

Almost surely, 2552986352 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 552986352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822265080).

552986352 is an abundant number, since it is smaller than the sum of its proper divisors (1091543808).

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

552986352 is a wasteful number, since it uses less digits than its factorization.

552986352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3515 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 552986352 is about 23515.6618448216. The cubic root of 552986352 is about 820.8014927643.

The spelling of 552986352 in words is "five hundred fifty-two million, nine hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 738 972 984 1107 1296 1476 1944 1968 2214 2952 3321 3469 3888 4428 5904 6642 6938 8856 9963 10407 13284 13876 17712 19926 20814 26568 27752 31221 39852 41628 53136 55504 62442 79704 83256 93663 124884 142229 159408 166512 187326 249768 280989 284458 374652 426687 499536 561978 568916 749304 842967 853374 1123956 1137832 1280061 1498608 1685934 1706748 2247912 2275664 2560122 3371868 3413496 3840183 4495824 5120244 6743736 6826992 7680366 10240488 11520549 13487472 15360732 20480976 23041098 30721464 34561647 46082196 61442928 69123294 92164392 138246588 184328784 276493176 552986352