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196098048 = 2113210639
BaseRepresentation
bin10111011000000…
…11100000000000
3111122222210221200
423230003200000
5400200114143
631243021200
74600543266
oct1354034000
9448883850
10196098048
11a0768403
125580a800
133181c263
141c088436
15123381d3
hexbb03800

196098048 has 72 divisors (see below), whose sum is σ = 566420400. Its totient is φ = 65359872.

The previous prime is 196098047. The next prime is 196098059. The reversal of 196098048 is 840890691.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 196097994 and 196098012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196098047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13113 + ... + 23751.

It is an arithmetic number, because the mean of its divisors is an integer number (7866950).

Almost surely, 2196098048 is an apocalyptic number.

196098048 is a gapful number since it is divisible by the number (18) 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 196098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283210200).

196098048 is an abundant number, since it is smaller than the sum of its proper divisors (370322352).

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

196098048 is a wasteful number, since it uses less digits than its factorization.

196098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10667 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 196098048 is about 14003.5012764665. The cubic root of 196098048 is about 580.9754177238.

The spelling of 196098048 in words is "one hundred ninety-six million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 10639 18432 21278 31917 42556 63834 85112 95751 127668 170224 191502 255336 340448 383004 510672 680896 766008 1021344 1361792 1532016 2042688 2723584 3064032 4085376 5447168 6128064 8170752 10894336 12256128 16341504 21788672 24512256 32683008 49024512 65366016 98049024 196098048