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423272832 = 2732574289
BaseRepresentation
bin11001001110101…
…010000110000000
31002111110111011120
4121032222012000
51331324212312
6110000112240
713326521403
oct3116520600
91074414146
10423272832
111a7a21164
12b9905680
13698cc5c8
1440301d3a
152725e28c
hex193aa180

423272832 has 64 divisors (see below), whose sum is σ = 1128956400. Its totient is φ = 140509184.

The previous prime is 423272831. The next prime is 423272849. The reversal of 423272832 is 238272324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 423272793 and 423272802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423272831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 96544 + ... + 100832.

Almost surely, 2423272832 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 423272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564478200).

423272832 is an abundant number, since it is smaller than the sum of its proper divisors (705683568).

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

423272832 is a wasteful number, since it uses less digits than its factorization.

423272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4551 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 423272832 is about 20573.5955049184. The cubic root of 423272832 is about 750.8274316956.

The spelling of 423272832 in words is "four hundred twenty-three million, two hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 257 384 514 771 1028 1542 2056 3084 4112 4289 6168 8224 8578 12336 12867 16448 17156 24672 25734 32896 34312 49344 51468 68624 98688 102936 137248 205872 274496 411744 548992 823488 1102273 1646976 2204546 3306819 4409092 6613638 8818184 13227276 17636368 26454552 35272736 52909104 70545472 105818208 141090944 211636416 423272832