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961141728 = 25347213019
BaseRepresentation
bin111001010010011…
…101101111100000
32110222120001120210
4321102131233200
53432023013403
6235212334120
732550366321
oct7122355740
92428501523
10961141728
114535a3008
12229a74340
13124183221
1491914448
15595a7b03
hex3949dbe0

961141728 has 48 divisors (see below), whose sum is σ = 2576689920. Its totient is φ = 313562496.

The previous prime is 961141723. The next prime is 961141757. The reversal of 961141728 is 827141169.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961141723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101998 + ... + 111021.

It is an arithmetic number, because the mean of its divisors is an integer number (53681040).

Almost surely, 2961141728 is an apocalyptic number.

It is an amenable number.

961141728 is an abundant number, since it is smaller than the sum of its proper divisors (1615548192).

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

961141728 is a wasteful number, since it uses less digits than its factorization.

961141728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213079 (or 213071 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 961141728 is about 31002.2858512078. The cubic root of 961141728 is about 986.8757502685.

The spelling of 961141728 in words is "nine hundred sixty-one million, one hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 213019 426038 639057 852076 1278114 1704152 2556228 3408304 5112456 6816608 10011893 10224912 20023786 20449824 30035679 40047572 60071358 80095144 120142716 160190288 240285432 320380576 480570864 961141728