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389508552 = 23323147279
BaseRepresentation
bin10111001101110…
…110110111001000
31000010221002021200
4113031312313020
51244203233202
6102352304200
712436524306
oct2715666710
91003832250
10389508552
1118a95a5a4
12aa542060
136290a144
1439a33276
15242dee1c
hex17376dc8

389508552 has 144 divisors (see below), whose sum is σ = 1126694400. Its totient is φ = 121417920.

The previous prime is 389508551. The next prime is 389508563. The reversal of 389508552 is 255805983.

389508552 is a `hidden beast` number, since 3 + 8 + 95 + 0 + 8 + 552 = 666.

It is a super-2 number, since 2×3895085522 = 303433824162273408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 389508498 and 389508507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389508551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4930449 + ... + 4930527.

Almost surely, 2389508552 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 389508552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563347200).

389508552 is an abundant number, since it is smaller than the sum of its proper divisors (737185848).

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

389508552 is a wasteful number, since it uses less digits than its factorization.

389508552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 389508552 is about 19735.9710174088. The cubic root of 389508552 is about 730.3073404064.

The spelling of 389508552 in words is "three hundred eighty-nine million, five hundred eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 79 93 94 124 141 158 186 188 237 248 279 282 316 372 376 423 474 558 564 632 711 744 846 948 1116 1128 1422 1457 1692 1896 2209 2232 2449 2844 2914 3384 3713 4371 4418 4898 5688 5828 6627 7347 7426 8742 8836 9796 11139 11656 13113 13254 14694 14852 17484 17672 19592 19881 22041 22278 26226 26508 29388 29704 33417 34968 39762 44082 44556 52452 53016 58776 66834 68479 79524 88164 89112 104904 115103 133668 136958 159048 174511 176328 205437 230206 267336 273916 345309 349022 410874 460412 523533 547832 616311 690618 698044 821748 920824 1035927 1047066 1232622 1381236 1396088 1570599 1643496 2071854 2094132 2465244 2762472 3141198 4143708 4188264 4930488 5409841 6282396 8287416 10819682 12564792 16229523 21639364 32459046 43278728 48688569 64918092 97377138 129836184 194754276 389508552