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2031054432 = 253114344729
BaseRepresentation
bin111100100001111…
…0110111001100000
312020112210020220020
41321003312321200
513124422220212
6533312313440
7101221451331
oct17103667140
95215706806
102031054432
11952528290
12488242880
13264a2b274
14153a60288
15bd498d8c
hex790f6e60

2031054432 has 96 divisors (see below), whose sum is σ = 5951594880. Its totient is φ = 601144320.

The previous prime is 2031054407. The next prime is 2031054461. The reversal of 2031054432 is 2344501302.

2031054432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23044 + ... + 67772.

It is an arithmetic number, because the mean of its divisors is an integer number (61995780).

Almost surely, 22031054432 is an apocalyptic number.

2031054432 is a gapful number since it is divisible by the number (22) 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 2031054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975797440).

2031054432 is an abundant number, since it is smaller than the sum of its proper divisors (3920540448).

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

2031054432 is a wasteful number, since it uses less digits than its factorization.

2031054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44796 (or 44788 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2031054432 is about 45067.2212589150. The cubic root of 2031054432 is about 1266.4086090485.

Adding to 2031054432 its reverse (2344501302), we get a palindrome (4375555734).

The spelling of 2031054432 in words is "two billion, thirty-one million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 15136 22704 44729 45408 89458 134187 178916 268374 357832 492019 536748 715664 984038 1073496 1431328 1476057 1923347 1968076 2146992 2952114 3846694 3936152 4293984 5770041 5904228 7693388 7872304 11540082 11808456 15386776 15744608 21156817 23080164 23616912 30773552 42313634 46160328 47233824 61547104 63470451 84627268 92320656 126940902 169254536 184641312 253881804 338509072 507763608 677018144 1015527216 2031054432