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2425215104 = 27131785733
BaseRepresentation
bin1001000010001101…
…1101100010000000
320021000110200200122
42100203131202000
514431323340404
61040352435412
7114045662654
oct22043354200
96230420618
102425215104
111034a75004
12578248b68
132c85a6a30
14190144a64
15e2da73be
hex908dd880

2425215104 has 64 divisors (see below), whose sum is σ = 5509266840. Its totient is φ = 1053474816.

The previous prime is 2425214983. The next prime is 2425215113. The reversal of 2425215104 is 4015125242.

It can be written as a sum of positive squares in 4 ways, for example, as 2280253504 + 144961600 = 47752^2 + 12040^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14579 + ... + 71154.

Almost surely, 22425215104 is an apocalyptic number.

It is an amenable number.

2425215104 is an abundant number, since it is smaller than the sum of its proper divisors (3084051736).

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

2425215104 is a wasteful number, since it uses less digits than its factorization.

2425215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85777 (or 85765 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2425215104 is about 49246.4730107649. The cubic root of 2425215104 is about 1343.5384138634.

The spelling of 2425215104 in words is "two billion, four hundred twenty-five million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 85733 171466 342932 685864 1114529 1371728 1457461 2229058 2743456 2914922 4458116 5486912 5829844 8916232 10973824 11659688 17832464 18946993 23319376 35664928 37893986 46638752 71329856 75787972 93277504 142659712 151575944 186555008 303151888 606303776 1212607552 2425215104