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4684396032 = 29322334363
BaseRepresentation
bin1000101110011011…
…00011011000000000
3110002110111222022100
410113031203120000
534043201133112
62052454510400
7224040465201
oct42715433000
913073458270
104684396032
111a94246088
12aa8965400
13598659594
143261c95a8
151c63b42dc
hex117363600

4684396032 has 120 divisors (see below), whose sum is σ = 13580619624. Its totient is φ = 1554407424.

The previous prime is 4684396027. The next prime is 4684396051. The reversal of 4684396032 is 2306934864.

4684396032 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 39 + 603 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071483 + ... + 1075845.

Almost surely, 24684396032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4684396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790309812).

4684396032 is an abundant number, since it is smaller than the sum of its proper divisors (8896223592).

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

4684396032 is a wasteful number, since it uses less digits than its factorization.

4684396032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4684396032 is about 68442.6477570820. The cubic root of 4684396032 is about 1673.2128894683.

The spelling of 4684396032 in words is "four billion, six hundred eighty-four million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 699 768 932 1152 1398 1536 1864 2097 2304 2796 3728 4194 4363 4608 5592 7456 8388 8726 11184 13089 14912 16776 17452 22368 26178 29824 33552 34904 39267 44736 52356 59648 67104 69808 78534 89472 104712 119296 134208 139616 157068 178944 209424 268416 279232 314136 357888 418848 536832 558464 628272 837696 1016579 1073664 1116928 1256544 1675392 2033158 2233856 2513088 3049737 3350784 4066316 5026176 6099474 6701568 8132632 9149211 10052352 12198948 16265264 18298422 20104704 24397896 32530528 36596844 48795792 65061056 73193688 97591584 130122112 146387376 195183168 260244224 292774752 390366336 520488448 585549504 780732672 1171099008 1561465344 2342198016 4684396032