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19694952 = 2332377393
BaseRepresentation
bin100101100100…
…0010101101000
31101001121101200
41023020111220
520020214302
61542044200
7326255454
oct113102550
941047350
1019694952
1110132122
126719660
134107624
142889664
151ae081c
hex12c8568

19694952 has 48 divisors (see below), whose sum is σ = 54789540. Its totient is φ = 6386688.

The previous prime is 19694921. The next prime is 19694953. The reversal of 19694952 is 25949691.

It can be written as a sum of positive squares in 2 ways, for example, as 19660356 + 34596 = 4434^2 + 186^2 .

It is a super-2 number, since 2×196949522 = 775782268564608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19694898 and 19694907.

It is not an unprimeable number, because it can be changed into a prime (19694953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033 + ... + 6360.

Almost surely, 219694952 is an apocalyptic number.

19694952 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 19694952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394770).

19694952 is an abundant number, since it is smaller than the sum of its proper divisors (35094588).

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

19694952 is a wasteful number, since it uses less digits than its factorization.

19694952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7435 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 19694952 is about 4437.8995031434. The cubic root of 19694952 is about 270.0546391478.

The spelling of 19694952 in words is "nineteen million, six hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7393 14786 22179 29572 44358 59144 66537 88716 133074 177432 266148 273541 532296 547082 820623 1094164 1641246 2188328 2461869 3282492 4923738 6564984 9847476 19694952