Search a number
-
+
4745692040 = 2353173103509
BaseRepresentation
bin1000110101101110…
…11000001110001000
3110020201212010121212
410122313120032020
534204344121130
62102524352252
7225413500565
oct43267301610
913221763555
104745692040
112015901741
12b053a5688
135a826b3cb
143303c386c
151cb970e95
hex11add8388

4745692040 has 128 divisors (see below), whose sum is σ = 11303884800. Its totient is φ = 1790760960.

The previous prime is 4745691983. The next prime is 4745692057. The reversal of 4745692040 is 402965474.

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, 9323306 + ... + 9323814.

It is an arithmetic number, because the mean of its divisors is an integer number (88311600).

Almost surely, 24745692040 is an apocalyptic number.

4745692040 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 4745692040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651942400).

4745692040 is an abundant number, since it is smaller than the sum of its proper divisors (6558192760).

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

4745692040 is a wasteful number, since it uses less digits than its factorization.

4745692040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 4745692040 is about 68888.9834443796. The cubic root of 4745692040 is about 1680.4793652852.

The spelling of 4745692040 in words is "four billion, seven hundred forty-five million, six hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 103 124 146 155 206 248 292 310 365 412 509 515 584 620 730 824 1018 1030 1240 1460 2036 2060 2263 2545 2920 3193 4072 4120 4526 5090 6386 7519 9052 10180 11315 12772 15038 15779 15965 18104 20360 22630 25544 30076 31558 31930 37157 37595 45260 52427 60152 63116 63860 74314 75190 78895 90520 104854 126232 127720 148628 150380 157790 185785 209708 233089 262135 297256 300760 315580 371570 419416 466178 524270 631160 743140 932356 1048540 1151867 1165445 1486280 1625237 1864712 2097080 2303734 2330890 3250474 3827171 4607468 4661780 5759335 6500948 7654342 8126185 9214936 9323560 11518670 13001896 15308684 16252370 19135855 23037340 30617368 32504740 38271710 46074680 65009480 76543420 118642301 153086840 237284602 474569204 593211505 949138408 1186423010 2372846020 4745692040