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38520576 = 28335573
BaseRepresentation
bin1001001011110…
…0011100000000
32200111001022000
42102330130000
534330124301
63453344000
7645263613
oct222743400
980431260
1038520576
111a820096
1210a98000
137c99353
14518a17a
1535ad786
hex24bc700

38520576 has 72 divisors (see below), whose sum is σ = 113932560. Its totient is φ = 12837888.

The previous prime is 38520571. The next prime is 38520583. The reversal of 38520576 is 67502583.

38520576 is a `hidden beast` number, since 3 + 85 + 2 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38520576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38520571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4126 + ... + 9698.

Almost surely, 238520576 is an apocalyptic number.

38520576 is a gapful number since it is divisible by the number (36) 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 38520576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56966280).

38520576 is an abundant number, since it is smaller than the sum of its proper divisors (75411984).

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

38520576 is an equidigital number, since it uses as much as digits as its factorization.

38520576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 38520576 is about 6206.4946628512. The cubic root of 38520576 is about 337.7258143107.

The spelling of 38520576 in words is "thirty-eight million, five hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 5573 6912 11146 16719 22292 33438 44584 50157 66876 89168 100314 133752 150471 178336 200628 267504 300942 356672 401256 535008 601884 713344 802512 1070016 1203768 1426688 1605024 2140032 2407536 3210048 4280064 4815072 6420096 9630144 12840192 19260288 38520576