Search a number
-
+
4765046000 = 2453111316661
BaseRepresentation
bin1000111000000010…
…01101010011110000
3110022002021102021012
410130001031103300
534224322433000
62104455250052
7226040136251
oct43401152360
913262242235
104765046000
112025820650
12b0b979928
135ac286760
14332bc0b28
151cd4e5735
hex11c04d4f0

4765046000 has 160 divisors (see below), whose sum is σ = 13537008576. Its totient is φ = 1599360000.

The previous prime is 4765045981. The next prime is 4765046017. The reversal of 4765046000 is 6405674.

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 31 ways as a sum of consecutive naturals, for example, 277670 + ... + 294330.

Almost surely, 24765046000 is an apocalyptic number.

4765046000 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 4765046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768504288).

4765046000 is an abundant number, since it is smaller than the sum of its proper divisors (8771962576).

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

4765046000 is a wasteful number, since it uses less digits than its factorization.

4765046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16708 (or 16692 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4765046000 is about 69029.3126142800. The cubic root of 4765046000 is about 1682.7607197454.

The spelling of 4765046000 in words is "four billion, seven hundred sixty-five million, forty-six thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 4400 5200 5500 5720 6500 7150 11000 11440 13000 14300 16661 17875 22000 26000 28600 33322 35750 57200 66644 71500 83305 133288 143000 166610 183271 216593 266576 286000 333220 366542 416525 433186 666440 733084 833050 866372 916355 1082965 1332880 1466168 1666100 1732744 1832710 2082625 2165930 2382523 2932336 3332200 3465488 3665420 4165250 4331860 4581775 4765046 5414825 6664400 7330840 8330500 8663720 9163550 9530092 10829650 11912615 14661680 16661000 17327440 18327100 19060184 21659300 22908875 23825230 27074125 33322000 36654200 38120368 43318600 45817750 47650460 54148250 59563075 73308400 86637200 91635500 95300920 108296500 119126150 183271000 190601840 216593000 238252300 297815375 366542000 433186000 476504600 595630750 953009200 1191261500 2382523000 4765046000