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530088832 = 27713172677
BaseRepresentation
bin11111100110001…
…000001110000000
31100221110022011201
4133212020032000
52041200320312
6124333350544
716064452330
oct3746101600
91327408151
10530088832
11252248649
12129638454
1385a8b640
14505890c0
153180d557
hex1f988380

530088832 has 128 divisors (see below), whose sum is σ = 1376706240. Its totient is φ = 197296128.

The previous prime is 530088829. The next prime is 530088833. The reversal of 530088832 is 238880035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5300888322 = 561988339622248448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 530088791 and 530088800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530088833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196678 + ... + 199354.

Almost surely, 2530088832 is an apocalyptic number.

530088832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688353120).

530088832 is an abundant number, since it is smaller than the sum of its proper divisors (846617408).

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

530088832 is a wasteful number, since it uses less digits than its factorization.

530088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 530088832 is about 23023.6580933613. The cubic root of 530088832 is about 809.3124440295.

The spelling of 530088832 in words is "five hundred thirty million, eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1904 2176 2677 2912 3094 3536 3808 5354 5824 6188 7072 7616 10708 11648 12376 14144 15232 18739 21416 24752 28288 34801 37478 42832 45509 49504 69602 74956 85664 91018 99008 139204 149912 171328 182036 198016 243607 278408 299824 318563 342656 364072 487214 556816 591617 599648 637126 728144 974428 1113632 1183234 1199296 1274252 1456288 1948856 2227264 2366468 2398592 2548504 2912576 3897712 4141319 4454528 4732936 5097008 5825152 7795424 8282638 9465872 10194016 15590848 16565276 18931744 20388032 31181696 33130552 37863488 40776064 66261104 75726976 132522208 265044416 530088832