Search a number
-
+
4761312030 = 2345193857
BaseRepresentation
bin1000110111100101…
…11101101100011110
3110021211020201020000
410123302331230132
534222343441110
62104243235130
7225663325116
oct43362755436
913254221200
104761312030
112023700222
12b0a678aa6
135ab579cc7
143324cc046
151cd0091c0
hex11bcbdb1e

4761312030 has 160 divisors (see below), whose sum is σ = 13529561760. Its totient is φ = 1201454208.

The previous prime is 4761312019. The next prime is 4761312037. The reversal of 4761312030 is 302131674.

4761312030 is a `hidden beast` number, since 4 + 7 + 613 + 12 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4761311985 and 4761312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761312037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5555362 + ... + 5556218.

It is an arithmetic number, because the mean of its divisors is an integer number (84559761).

Almost surely, 24761312030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764780880).

4761312030 is an abundant number, since it is smaller than the sum of its proper divisors (8768249730).

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

4761312030 is an equidigital number, since it uses as much as digits as its factorization.

4761312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4761312030 is about 69002.2610499105. The cubic root of 4761312030 is about 1682.3210583715.

The spelling of 4761312030 in words is "four billion, seven hundred sixty-one million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 361 405 513 570 722 810 855 857 1026 1083 1539 1710 1714 1805 2166 2565 2571 3078 3249 3610 4285 5130 5142 5415 6498 6859 7695 7713 8570 9747 10830 12855 13718 15390 15426 16245 16283 19494 20577 23139 25710 29241 32490 32566 34295 38565 41154 46278 48735 48849 58482 61731 68590 69417 77130 81415 97470 97698 102885 115695 123462 138834 146205 146547 162830 185193 205770 231390 244245 292410 293094 308655 309377 347085 370386 439641 488490 555579 617310 618754 694170 732735 879282 925965 928131 1111158 1318923 1465470 1546885 1851930 1856262 2198205 2637846 2777895 2784393 3093770 4396410 4640655 5555790 5568786 5878163 6594615 8353179 9281310 11756326 13189230 13921965 16706358 17634489 25059537 27843930 29390815 35268978 41765895 50119074 52903467 58781630 83531790 88172445 105806934 125297685 158710401 176344890 250595370 264517335 317420802 476131203 529034670 793552005 952262406 1587104010 2380656015 4761312030