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536349924 = 223411213681
BaseRepresentation
bin11111111110000…
…000110011100100
31101101020101210000
4133332000303210
52044301144144
6125115501300
716201620255
oct3776006344
91341211700
10536349924
11255834700
1212b757830
1387171426
1451338b2c
1532148769
hex1ff80ce4

536349924 has 90 divisors (see below), whose sum is σ = 1541290982. Its totient is φ = 162518400.

The previous prime is 536349911. The next prime is 536349937. The reversal of 536349924 is 429943635.

536349924 is a `hidden beast` number, since 5 + 3 + 634 + 9 + 9 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (536349911) and next prime (536349937).

It can be written as a sum of positive squares in only one way, i.e., 527529024 + 8820900 = 22968^2 + 2970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 536349924.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32364 + ... + 46044.

Almost surely, 2536349924 is an apocalyptic number.

536349924 is a gapful number since it is divisible by the number (54) 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 536349924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770645491).

536349924 is an abundant number, since it is smaller than the sum of its proper divisors (1004941058).

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

536349924 is a wasteful number, since it uses less digits than its factorization.

536349924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13719 (or 13697 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 536349924 is about 23159.2297799387. The cubic root of 536349924 is about 812.4863519285.

The spelling of 536349924 in words is "five hundred thirty-six million, three hundred forty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 13681 19602 27362 39204 41043 54724 82086 123129 150491 164172 246258 300982 369387 451473 492516 601964 738774 902946 1108161 1354419 1477548 1655401 1805892 2216322 2708838 3310802 4063257 4432644 4966203 5417676 6621604 8126514 9932406 12189771 14898609 16253028 19864812 24379542 29797218 44695827 48759084 59594436 89391654 134087481 178783308 268174962 536349924