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19892992 = 28717653
BaseRepresentation
bin100101111100…
…0101100000000
31101102200001111
41023320230000
520043033432
61550213104
7331042030
oct113705400
941380044
1019892992
1110257999
1267b4194
134176802
1428db8c0
151b2e347
hex12f8b00

19892992 has 72 divisors (see below), whose sum is σ = 48123936. Its totient is φ = 8011776.

The previous prime is 19892989. The next prime is 19893007. The reversal of 19892992 is 29929891.

It is a happy number.

It is a super-2 number, since 2×198929922 = 791462261424128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30138 + ... + 30790.

It is an arithmetic number, because the mean of its divisors is an integer number (668388).

Almost surely, 219892992 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 19892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24061968).

19892992 is an abundant number, since it is smaller than the sum of its proper divisors (28230944).

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

19892992 is an equidigital number, since it uses as much as digits as its factorization.

19892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its digits is 209952, while the sum is 49.

The square root of 19892992 is about 4460.1560510816. The cubic root of 19892992 is about 270.9567883608.

The spelling of 19892992 in words is "nineteen million, eight hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 653 896 952 1088 1306 1792 1904 2176 2612 3808 4352 4571 5224 7616 9142 10448 11101 15232 18284 20896 22202 30464 36568 41792 44404 73136 77707 83584 88808 146272 155414 167168 177616 292544 310828 355232 585088 621656 710464 1170176 1243312 1420928 2486624 2841856 4973248 9946496 19892992