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552354552 = 2336531787
BaseRepresentation
bin100000111011000…
…100001011111000
31102111100112000000
4200323010023320
52112400321202
6130450513000
716454636061
oct4073041370
91374315000
10552354552
11263876172
12134b95760
138a586119
1453503568
153375a91c
hex20ec42f8

552354552 has 112 divisors (see below), whose sum is σ = 1582970040. Its totient is φ = 180543168.

The previous prime is 552354533. The next prime is 552354553. The reversal of 552354552 is 255453255.

552354552 is a `hidden beast` number, since 5 + 52 + 3 + 54 + 552 = 666.

It is a super-2 number, since 2×5523545522 = 610191102230241408, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552354553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 308203 + ... + 309989.

Almost surely, 2552354552 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 552354552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791485020).

552354552 is an abundant number, since it is smaller than the sum of its proper divisors (1030615488).

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

552354552 is a wasteful number, since it uses less digits than its factorization.

552354552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1845 counting only the distinct ones).

The product of its digits is 150000, while the sum is 36.

The square root of 552354552 is about 23502.2244053621. The cubic root of 552354552 is about 820.4887785932.

The spelling of 552354552 in words is "five hundred fifty-two million, three hundred fifty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1787 1908 1944 2862 2916 3574 3816 4293 5361 5724 5832 7148 8586 10722 11448 12879 14296 16083 17172 21444 25758 32166 34344 38637 42888 48249 51516 64332 77274 94711 96498 103032 128664 144747 154548 189422 192996 284133 289494 309096 378844 385992 434241 568266 578988 757688 852399 868482 1136532 1157976 1302723 1704798 1736964 2273064 2557197 2605446 3409596 3473928 5114394 5210892 6819192 7671591 10228788 10421784 15343182 20457576 23014773 30686364 46029546 61372728 69044319 92059092 138088638 184118184 276177276 552354552