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1998267432 = 233722816047
BaseRepresentation
bin111011100011011…
…0010010000101000
312011021002111120220
41313012302100220
513043024024212
6530141450040
7100342664400
oct16706622050
95137074526
101998267432
11935a73997
12479270920
1325acbb885
1414d567800
15ba66e38c
hex771b2428

1998267432 has 96 divisors (see below), whose sum is σ = 5832933120. Its totient is φ = 568807680.

The previous prime is 1998267407. The next prime is 1998267437. The reversal of 1998267432 is 2347628991.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1998267437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327433 + ... + 333479.

It is an arithmetic number, because the mean of its divisors is an integer number (60759720).

Almost surely, 21998267432 is an apocalyptic number.

1998267432 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 1998267432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916466560).

1998267432 is an abundant number, since it is smaller than the sum of its proper divisors (3834665688).

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

1998267432 is a wasteful number, since it uses less digits than its factorization.

1998267432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6340 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 1998267432 is about 44701.9846539278. The cubic root of 1998267432 is about 1259.5571283059.

The spelling of 1998267432 in words is "one billion, nine hundred ninety-eight million, two hundred sixty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 281 294 392 562 588 843 1124 1176 1686 1967 2248 3372 3934 5901 6047 6744 7868 11802 12094 13769 15736 18141 23604 24188 27538 36282 41307 42329 47208 48376 55076 72564 82614 84658 110152 126987 145128 165228 169316 253974 296303 330456 338632 507948 592606 888909 1015896 1185212 1699207 1777818 2370424 3398414 3555636 5097621 6796828 7111272 10195242 11894449 13593656 20390484 23788898 35683347 40780968 47577796 71366694 83261143 95155592 142733388 166522286 249783429 285466776 333044572 499566858 666089144 999133716 1998267432