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537361488 = 243253181389
BaseRepresentation
bin100000000001110…
…111110001010000
31101110010210101100
4200001313301100
52100031031423
6125153304400
716213332366
oct4001676120
91343123340
10537361488
11256365704
1212bb65100
13874369a1
145151d636
1532298343
hex20077c50

537361488 has 120 divisors (see below), whose sum is σ = 1544666760. Its totient is φ = 174320640.

The previous prime is 537361469. The next prime is 537361547. The reversal of 537361488 is 884163735.

537361488 is a `hidden beast` number, since 537 + 36 + 1 + 4 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 536941584 = 648^2 + 23172^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1381198 + ... + 1381586.

It is an arithmetic number, because the mean of its divisors is an integer number (12872223).

Almost surely, 2537361488 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 537361488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772333380).

537361488 is an abundant number, since it is smaller than the sum of its proper divisors (1007305272).

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

537361488 is a wasteful number, since it uses less digits than its factorization.

537361488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 537361488 is about 23181.0588196484. The cubic root of 537361488 is about 812.9968182952.

The spelling of 537361488 in words is "five hundred thirty-seven million, three hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 181 212 318 362 389 424 477 543 636 724 778 848 954 1086 1167 1272 1448 1556 1629 1908 2172 2334 2544 2896 3112 3258 3501 3816 4344 4668 6224 6516 7002 7632 8688 9336 9593 13032 14004 18672 19186 20617 26064 28008 28779 38372 41234 56016 57558 61851 70409 76744 82468 86337 115116 123702 140818 153488 164936 172674 185553 211227 230232 247404 281636 329872 345348 371106 422454 460464 494808 563272 633681 690696 742212 844908 989616 1126544 1267362 1381392 1484424 1689816 2534724 2968848 3379632 3731677 5069448 7463354 10138896 11195031 14926708 22390062 29853416 33585093 44780124 59706832 67170186 89560248 134340372 179120496 268680744 537361488