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2029848432 = 243196913221
BaseRepresentation
bin111100011111101…
…0000011101110000
312020110111222120120
41320333100131300
513124120122212
6533230410240
7101205266313
oct17077203560
95213458516
102029848432
11951884197
12487960980
132646c8361
1415382897a
15bd30b88c
hex78fd0770

2029848432 has 80 divisors (see below), whose sum is σ = 5529467520. Its totient is φ = 639878400.

The previous prime is 2029848421. The next prime is 2029848437. The reversal of 2029848432 is 2348489202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029848437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628582 + ... + 631802.

It is an arithmetic number, because the mean of its divisors is an integer number (69118344).

Almost surely, 22029848432 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 2029848432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764733760).

2029848432 is an abundant number, since it is smaller than the sum of its proper divisors (3499619088).

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

2029848432 is a wasteful number, since it uses less digits than its factorization.

2029848432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2029848432 is about 45053.8392592685. The cubic root of 2029848432 is about 1266.1579032822.

The spelling of 2029848432 in words is "two billion, twenty-nine million, eight hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 691 912 1382 2073 2764 3221 4146 5528 6442 8292 9663 11056 12884 13129 16584 19326 25768 26258 33168 38652 39387 51536 52516 61199 77304 78774 105032 122398 154608 157548 183597 210064 244796 315096 367194 489592 630192 734388 979184 1468776 2225711 2937552 4451422 6677133 8902844 13354266 17805688 26708532 35611376 42288509 53417064 84577018 106834128 126865527 169154036 253731054 338308072 507462108 676616144 1014924216 2029848432