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4932907000 = 235371741453
BaseRepresentation
bin1001001100000011…
…00010111111111000
3110201210010122021021
410212001202333320
540100311011000
62133253152224
7233146006030
oct44601427770
913653118237
104932907000
11210155204a
12b5802b674
13607c9a2a8
1434b1d88c0
151dd10211a
hex126062ff8

4932907000 has 128 divisors (see below), whose sum is σ = 13968339840. Its totient is φ = 1591756800.

The previous prime is 4932906997. The next prime is 4932907013. The reversal of 4932907000 is 7092394.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98274 + ... + 139726.

It is an arithmetic number, because the mean of its divisors is an integer number (109127655).

Almost surely, 24932907000 is an apocalyptic number.

4932907000 is a gapful number since it is divisible by the number (40) 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 4932907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984169920).

4932907000 is an abundant number, since it is smaller than the sum of its proper divisors (9035432840).

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

4932907000 is a wasteful number, since it uses less digits than its factorization.

4932907000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41498 (or 41484 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 4932907000 is about 70234.6566874218. The cubic root of 4932907000 is about 1702.2929842310.

Adding to 4932907000 its reverse (7092394), we get a palindrome (4939999394).

The spelling of 4932907000 in words is "four billion, nine hundred thirty-two million, nine hundred seven thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 41453 59500 82906 119000 165812 207265 290171 331624 414530 580342 704701 829060 1036325 1160684 1409402 1450855 1658120 2072650 2321368 2818804 2901710 3523505 4145300 4932907 5181625 5637608 5803420 7047010 7254275 8290600 9865814 10363250 11606840 14094020 14508550 17617525 19731628 20726500 24664535 28188040 29017100 35235050 36271375 39463256 41453000 49329070 58034200 70470100 72542750 88087625 98658140 123322675 140940200 145085500 176175250 197316280 246645350 290171000 352350500 493290700 616613375 704701000 986581400 1233226750 2466453500 4932907000