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4741820028 = 2234114093253
BaseRepresentation
bin1000110101010001…
…00110111001111100
3110020110120102020000
410122220212321330
534202401220103
62102305354300
7225335543121
oct43250467174
913213512200
104741820028
1120136a7630
12b04038990
135a7513b8a
1432da96748
151cb458aa3
hex11aa26e7c

4741820028 has 120 divisors (see below), whose sum is σ = 13560198960. Its totient is φ = 1432961280.

The previous prime is 4741820023. The next prime is 4741820033. The reversal of 4741820028 is 8200281474.

4741820028 is a `hidden beast` number, since 474 + 182 + 0 + 0 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4741820023) and next prime (4741820033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4741819974 and 4741820001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4741820023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1456050 + ... + 1459302.

It is an arithmetic number, because the mean of its divisors is an integer number (113001658).

Almost surely, 24741820028 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 4741820028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780099480).

4741820028 is an abundant number, since it is smaller than the sum of its proper divisors (8818378932).

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

4741820028 is a wasteful number, since it uses less digits than its factorization.

4741820028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4741820028 is about 68860.8744353425. The cubic root of 4741820028 is about 1680.0222063391.

The spelling of 4741820028 in words is "four billion, seven hundred forty-one million, eight hundred twenty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 409 594 818 891 1188 1227 1636 1782 2454 3253 3564 3681 4499 4908 6506 7362 8998 9759 11043 13012 13497 14724 17996 19518 22086 26994 29277 33129 35783 39036 40491 44172 53988 58554 66258 71566 80982 87831 107349 117108 121473 132516 143132 161964 175662 214698 242946 263493 322047 351324 364419 429396 485892 526986 644094 728838 966141 1053972 1288188 1330477 1457676 1932282 2660954 2898423 3864564 3991431 5321908 5796846 7982862 11593692 11974293 14635247 15965724 23948586 29270494 35922879 43905741 47897172 58540988 71845758 87811482 107768637 131717223 143691516 175622964 215537274 263434446 395151669 431074548 526868892 790303338 1185455007 1580606676 2370910014 4741820028