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648412992 = 26333531063
BaseRepresentation
bin100110101001011…
…111111101000000
31200012002210102000
4212221133331000
52311443203432
6144201424000
722032263613
oct4651377500
91605083360
10648412992
11303015307
1216119b000
13a4449836
146218a17a
153bdd257c
hex26a5ff40

648412992 has 112 divisors (see below), whose sum is σ = 1913412480. Its totient is φ = 215322624.

The previous prime is 648412931. The next prime is 648413011. The reversal of 648412992 is 299214846.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609453 + ... + 610515.

It is an arithmetic number, because the mean of its divisors is an integer number (17084040).

Almost surely, 2648412992 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 648412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956706240).

648412992 is an abundant number, since it is smaller than the sum of its proper divisors (1264999488).

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

648412992 is a wasteful number, since it uses less digits than its factorization.

648412992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1421 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 648412992 is about 25463.9547596205. The cubic root of 648412992 is about 865.5335418880.

The spelling of 648412992 in words is "six hundred forty-eight million, four hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 353 432 576 706 864 1059 1063 1412 1728 2118 2126 2824 3177 3189 4236 4252 5648 6354 6378 8472 8504 9531 9567 11296 12708 12756 16944 17008 19062 19134 22592 25416 25512 28701 33888 34016 38124 38268 50832 51024 57402 67776 68032 76248 76536 101664 102048 114804 152496 153072 203328 204096 229608 304992 306144 375239 459216 609984 612288 750478 918432 1125717 1500956 1836864 2251434 3001912 3377151 4502868 6003824 6754302 9005736 10131453 12007648 13508604 18011472 20262906 24015296 27017208 36022944 40525812 54034416 72045888 81051624 108068832 162103248 216137664 324206496 648412992