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2830932984 = 2331121150821
BaseRepresentation
bin1010100010111100…
…1001101111111000
321022021220021222210
42220233021233320
521244204323414
61144524415120
7130103350635
oct25057115770
97267807883
102830932984
111222a95940
126700a74a0
1336166aa99
141cbd9718c
151187e9e59
hexa8bc9bf8

2830932984 has 64 divisors (see below), whose sum is σ = 7757470080. Its totient is φ = 853776000.

The previous prime is 2830932967. The next prime is 2830933123. The reversal of 2830932984 is 4892390382.

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, 30294 + ... + 81114.

It is an arithmetic number, because the mean of its divisors is an integer number (121210470).

Almost surely, 22830932984 is an apocalyptic number.

2830932984 is a gapful number since it is divisible by the number (24) 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 2830932984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878735040).

2830932984 is an abundant number, since it is smaller than the sum of its proper divisors (4926537096).

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

2830932984 is a wasteful number, since it uses less digits than its factorization.

2830932984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51052 (or 51048 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2830932984 is about 53206.5126088903. The cubic root of 2830932984 is about 1414.6310823050.

The spelling of 2830932984 in words is "two billion, eight hundred thirty million, nine hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 422 633 844 1266 1688 2321 2532 4642 5064 6963 9284 13926 18568 27852 50821 55704 101642 152463 203284 304926 406568 559031 609852 1118062 1219704 1677093 2236124 3354186 4472248 6708372 10723231 13416744 21446462 32169693 42892924 64339386 85785848 117955541 128678772 235911082 257357544 353866623 471822164 707733246 943644328 1415466492 2830932984