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552493152 = 25322983797
BaseRepresentation
bin100000111011100…
…110000001100000
31102111121120010100
4200323212001200
52112414240102
6130453502400
716456054131
oct4073460140
91374546110
10552493152
11263960312
12135041a00
138a604233
145353bc88
1533786a1c
hex20ee6060

552493152 has 144 divisors (see below), whose sum is σ = 1646976240. Its totient is φ = 175451136.

The previous prime is 552493141. The next prime is 552493157. The reversal of 552493152 is 251394255.

It is a happy number.

552493152 is a `hidden beast` number, since 552 + 4 + 93 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (552493157) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 692818 + ... + 693614.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2552493152 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 552493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823488120).

552493152 is an abundant number, since it is smaller than the sum of its proper divisors (1094483088).

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

552493152 is a wasteful number, since it uses less digits than its factorization.

552493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 552493152 is about 23505.1728774753. The cubic root of 552493152 is about 820.5574001177.

The spelling of 552493152 in words is "five hundred fifty-two million, four hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 83 87 96 116 144 166 174 232 249 261 288 332 348 464 498 522 664 696 747 797 928 996 1044 1328 1392 1494 1594 1992 2088 2391 2407 2656 2784 2988 3188 3984 4176 4782 4814 5976 6376 7173 7221 7968 8352 9564 9628 11952 12752 14346 14442 19128 19256 21663 23113 23904 25504 28692 28884 38256 38512 43326 46226 57384 57768 66151 69339 76512 77024 86652 92452 114768 115536 132302 138678 173304 184904 198453 208017 229536 231072 264604 277356 346608 369808 396906 416034 529208 554712 595359 693216 739616 793812 832068 1058416 1109424 1190718 1587624 1664136 1918379 2116832 2218848 2381436 3175248 3328272 3836758 4762872 5755137 6350496 6656544 7673516 9525744 11510274 15347032 17265411 19051488 23020548 30694064 34530822 46041096 61388128 69061644 92082192 138123288 184164384 276246576 552493152