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19004952 = 2335367223
BaseRepresentation
bin100100001111…
…1111000011000
31022202112220010
41020133320120
514331124302
61515201520
7320353011
oct110377030
938675803
1019004952
11a80077a
1264462a0
133c25545
14274a008
151a0616c
hex121fe18

19004952 has 64 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 6095232.

The previous prime is 19004927. The next prime is 19004957. The reversal of 19004952 is 25940091.

It is a happy number.

It is a super-2 number, since 2×190049522 = 722376401044608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19004957) 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, 85113 + ... + 85335.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 219004952 is an apocalyptic number.

19004952 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 19004952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

19004952 is an abundant number, since it is smaller than the sum of its proper divisors (30346728).

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

19004952 is a wasteful number, since it uses less digits than its factorization.

19004952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 19004952 is about 4359.4669398907. The cubic root of 19004952 is about 266.8633451830.

The spelling of 19004952 in words is "nineteen million, four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 223 268 318 402 424 446 536 636 669 804 892 1272 1338 1608 1784 2676 3551 5352 7102 10653 11819 14204 14941 21306 23638 28408 29882 35457 42612 44823 47276 59764 70914 85224 89646 94552 119528 141828 179292 283656 358584 791873 1583746 2375619 3167492 4751238 6334984 9502476 19004952