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30784992 = 253761751
BaseRepresentation
bin111010101101…
…1110111100000
32010221001001220
41311123313200
530340104432
63015455040
7522445110
oct165336740
963831056
1030784992
1116417247
12a387480
1364bb394
144135040
152a8172c
hex1d5bde0

30784992 has 96 divisors (see below), whose sum is σ = 93993984. Its totient is φ = 8640000.

The previous prime is 30784991. The next prime is 30785057. The reversal of 30784992 is 29948703.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30784991) 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, 40617 + ... + 41367.

It is an arithmetic number, because the mean of its divisors is an integer number (979104).

Almost surely, 230784992 is an apocalyptic number.

30784992 is a gapful number since it is divisible by the number (32) 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 30784992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46996992).

30784992 is an abundant number, since it is smaller than the sum of its proper divisors (63208992).

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

30784992 is a wasteful number, since it uses less digits than its factorization.

30784992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 30784992 is about 5548.4224785068. The cubic root of 30784992 is about 313.4101195041.

The spelling of 30784992 in words is "thirty million, seven hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 751 854 976 1281 1464 1502 1708 1952 2253 2562 2928 3004 3416 4506 5124 5257 5856 6008 6832 9012 10248 10514 12016 13664 15771 18024 20496 21028 24032 31542 36048 40992 42056 45811 63084 72096 84112 91622 126168 137433 168224 183244 252336 274866 320677 366488 504672 549732 641354 732976 962031 1099464 1282708 1465952 1924062 2198928 2565416 3848124 4397856 5130832 7696248 10261664 15392496 30784992