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19804992 = 263196189
BaseRepresentation
bin100101110001…
…1001101000000
31101021012100020
41023203031000
520032224432
61544253440
7330224334
oct113431500
941235306
1019804992
11101a7869
126771280
13414573c
1428b77c4
151b1322c
hex12e3340

19804992 has 112 divisors (see below), whose sum is σ = 56692800. Its totient is φ = 6082560.

The previous prime is 19804991. The next prime is 19804997. The reversal of 19804992 is 29940891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19804991) 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, 222484 + ... + 222572.

Almost surely, 219804992 is an apocalyptic number.

19804992 is a gapful number since it is divisible by the number (12) 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 19804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346400).

19804992 is an abundant number, since it is smaller than the sum of its proper divisors (36887808).

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

19804992 is a wasteful number, since it uses less digits than its factorization.

19804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 19804992 is about 4450.2799911916. The cubic root of 19804992 is about 270.5566567693.

The spelling of 19804992 in words is "nineteen million, eight hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 89 96 114 122 152 178 183 192 228 244 267 304 356 366 456 488 534 608 712 732 912 976 1068 1159 1216 1424 1464 1691 1824 1952 2136 2318 2848 2928 3382 3477 3648 3904 4272 4636 5073 5429 5696 5856 6764 6954 8544 9272 10146 10858 11712 13528 13908 16287 17088 18544 20292 21716 27056 27816 32574 37088 40584 43432 54112 55632 65148 74176 81168 86864 103151 108224 111264 130296 162336 173728 206302 222528 260592 309453 324672 347456 412604 521184 618906 825208 1042368 1237812 1650416 2475624 3300832 4951248 6601664 9902496 19804992