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204061632 = 2632967547
BaseRepresentation
bin11000010100110…
…11101111000000
3112012222101221020
430022123233000
5404214433012
632125425440
75025331605
oct1412335700
9465871836
10204061632
11a5207585
125840b280
1333379c38
141d15c6ac
1512daca8c
hexc29bbc0

204061632 has 112 divisors (see below), whose sum is σ = 567903360. Its totient is φ = 64576512.

The previous prime is 204061621. The next prime is 204061657. The reversal of 204061632 is 236160402.

It is a super-2 number, since 2×2040616322 = 83282299309006848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372783 + ... + 373329.

Almost surely, 2204061632 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 204061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283951680).

204061632 is an abundant number, since it is smaller than the sum of its proper divisors (363841728).

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

204061632 is a wasteful number, since it uses less digits than its factorization.

204061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 204061632 is about 14285.0142457052. The cubic root of 204061632 is about 588.7358089087.

The spelling of 204061632 in words is "two hundred four million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 116 134 174 192 201 232 268 348 402 464 536 547 696 804 928 1072 1094 1392 1608 1641 1856 1943 2144 2188 2784 3216 3282 3886 4288 4376 5568 5829 6432 6564 7772 8752 11658 12864 13128 15544 15863 17504 23316 26256 31088 31726 35008 36649 46632 47589 52512 62176 63452 73298 93264 95178 105024 109947 124352 126904 146596 186528 190356 219894 253808 293192 373056 380712 439788 507616 586384 761424 879576 1015232 1062821 1172768 1522848 1759152 2125642 2345536 3045696 3188463 3518304 4251284 6376926 7036608 8502568 12753852 17005136 25507704 34010272 51015408 68020544 102030816 204061632