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889904928 = 253118271019
BaseRepresentation
bin110101000010101…
…101111100100000
32022000111212001210
4311002231330200
53310303424203
6224145430120
731024032003
oct6502557440
92260455053
10889904928
11417367820
1220a03b340
131124a0783
148628d53a
15531d5803
hex350adf20

889904928 has 96 divisors (see below), whose sum is σ = 2553949440. Its totient is φ = 269077760.

The previous prime is 889904923. The next prime is 889904969. The reversal of 889904928 is 829409988.

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

It is not an unprimeable number, because it can be changed into a prime (889904923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872803 + ... + 873821.

It is an arithmetic number, because the mean of its divisors is an integer number (26603640).

Almost surely, 2889904928 is an apocalyptic number.

889904928 is a gapful number since it is divisible by the number (88) 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 889904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276974720).

889904928 is an abundant number, since it is smaller than the sum of its proper divisors (1664044512).

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

889904928 is a wasteful number, since it uses less digits than its factorization.

889904928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 889904928 is about 29831.2743274571. The cubic root of 889904928 is about 961.8659195367.

The spelling of 889904928 in words is "eight hundred eighty-nine million, nine hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 827 1019 1056 1654 2038 2481 3057 3308 4076 4962 6114 6616 8152 9097 9924 11209 12228 13232 16304 18194 19848 22418 24456 26464 27291 32608 33627 36388 39696 44836 48912 54582 67254 72776 79392 89672 97824 109164 134508 145552 179344 218328 269016 291104 358688 436656 538032 842713 873312 1076064 1685426 2528139 3370852 5056278 6741704 9269843 10112556 13483408 18539686 20225112 26966816 27809529 37079372 40450224 55619058 74158744 80900448 111238116 148317488 222476232 296634976 444952464 889904928