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4900280004 = 223438892
BaseRepresentation
bin1001001000001010…
…00101011011000100
3110122111202000110000
410210011011123010
540013432430004
62130130001300
7232301456424
oct44405053304
913574660400
104900280004
112095097994
12b49116230
136012b5689
14346b44484
151da309c39
hex1241456c4

4900280004 has 45 divisors (see below), whose sum is σ = 12813594717. Its totient is φ = 1633006656.

The previous prime is 4900279961. The next prime is 4900280009. The reversal of 4900280004 is 4000820094.

The square root of 4900280004 is 70002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3551921604 + 1348358400 = 59598^2 + 36720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4900280004.

It is not an unprimeable number, because it can be changed into a prime (4900280009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1258092 + ... + 1261980.

Almost surely, 24900280004 is an apocalyptic number.

4900280004 is the 70002-nd square number.

It is an amenable number.

4900280004 is an abundant number, since it is smaller than the sum of its proper divisors (7913314713).

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

4900280004 is an frugal number, since it uses more digits than its factorization.

4900280004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 4900280004 is about 1698.5316044545.

Multiplying 4900280004 by its product of nonzero digits (2304), we get a square (11290245129216 = 33600962).

The spelling of 4900280004 in words is "four billion, nine hundred million, two hundred eighty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3889 7778 11667 15556 23334 35001 46668 70002 105003 140004 210006 315009 420012 630018 1260036 15124321 30248642 45372963 60497284 90745926 136118889 181491852 272237778 408356667 544475556 816713334 1225070001 1633426668 2450140002 4900280004