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663407192 = 237193120113
BaseRepresentation
bin100111100010101…
…100101001011000
31201020022120120202
4213202230221120
52324313012232
6145455041332
722303603520
oct4742545130
91636276522
10663407192
11310526708
12166210248
13a7599646
1464170680
153d395162
hex278aca58

663407192 has 64 divisors (see below), whose sum is σ = 1544755200. Its totient is φ = 260651520.

The previous prime is 663407191. The next prime is 663407231. The reversal of 663407192 is 291704366.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663407191) 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, 22928 + ... + 43040.

It is an arithmetic number, because the mean of its divisors is an integer number (24136800).

Almost surely, 2663407192 is an apocalyptic number.

663407192 is a gapful number since it is divisible by the number (62) 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 663407192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772377600).

663407192 is an abundant number, since it is smaller than the sum of its proper divisors (881348008).

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

663407192 is a wasteful number, since it uses less digits than its factorization.

663407192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20176 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 663407192 is about 25756.6921789270. The cubic root of 663407192 is about 872.1544314483.

The spelling of 663407192 in words is "six hundred sixty-three million, four hundred seven thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4712 8246 16492 20113 32984 40226 80452 140791 160904 281582 382147 563164 623503 764294 1126328 1247006 1528588 2494012 2675029 3057176 4364521 4988024 5350058 8729042 10700116 11846557 17458084 21400232 23693114 34916168 47386228 82925899 94772456 165851798 331703596 663407192