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207948468 = 223713533593
BaseRepresentation
bin11000110010100…
…00101010110100
3112111021212200010
430121100222310
5411213322333
632345020220
75103350520
oct1431205264
9474255603
10207948468
11a7421842
1259784670
133410b140
141d890d80
15133c9563
hexc650ab4

207948468 has 96 divisors (see below), whose sum is σ = 608622336. Its totient is φ = 53793792.

The previous prime is 207948463. The next prime is 207948469. The reversal of 207948468 is 864849702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207948463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56080 + ... + 59672.

It is an arithmetic number, because the mean of its divisors is an integer number (6339816).

Almost surely, 2207948468 is an apocalyptic number.

207948468 is a gapful number since it is divisible by the number (28) 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 207948468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304311168).

207948468 is an abundant number, since it is smaller than the sum of its proper divisors (400673868).

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

207948468 is a wasteful number, since it uses less digits than its factorization.

207948468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 207948468 is about 14420.4184405308. The cubic root of 207948468 is about 592.4502790800.

The spelling of 207948468 in words is "two hundred seven million, nine hundred forty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1092 1113 1378 1484 2067 2226 2756 3593 4134 4452 4823 7186 8268 9646 10779 14372 14469 19292 21558 25151 28938 43116 46709 50302 57876 75453 93418 100604 140127 150906 186836 190429 280254 301812 326963 380858 560508 571287 653926 761716 980889 1142574 1307852 1333003 1961778 2285148 2475577 2666006 3923556 3999009 4951154 5332012 7426731 7998018 9902308 14853462 15996036 17329039 29706924 34658078 51987117 69316156 103974234 207948468