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1004424000 = 2635341851
BaseRepresentation
bin111011110111100…
…100101101000000
32121000000000200220
4323313210231000
54024113032000
6243400143040
733614314566
oct7367445500
92530000626
101004424000
11475a75688
12240467a80
13130128a38
149757da36
155d2a71a0
hex3bde4b40

1004424000 has 112 divisors (see below), whose sum is σ = 3316687296. Its totient is φ = 267840000.

The previous prime is 1004423989. The next prime is 1004424013. The reversal of 1004424000 is 4244001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3075 + ... + 44925.

Almost surely, 21004424000 is an apocalyptic number.

1004424000 is a gapful number since it is divisible by the number (10) 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 1004424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658343648).

1004424000 is an abundant number, since it is smaller than the sum of its proper divisors (2312263296).

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

1004424000 is an equidigital number, since it uses as much as digits as its factorization.

1004424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41881 (or 41861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1004424000 is about 31692.6489899472. The cubic root of 1004424000 is about 1001.4724973540.

Adding to 1004424000 its reverse (4244001), we get a palindrome (1008668001).

The spelling of 1004424000 in words is "one billion, four million, four hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 41851 83702 125553 167404 209255 251106 334808 418510 502212 627765 669616 837020 1004424 1046275 1255530 1339232 1674040 2008848 2092550 2511060 2678464 3138825 3348080 4017696 4185100 5022120 5231375 6277650 6696160 8035392 8370200 10044240 10462750 12555300 13392320 15694125 16740400 20088480 20925500 25110600 31388250 33480800 40176960 41851000 50221200 62776500 66961600 83702000 100442400 125553000 167404000 200884800 251106000 334808000 502212000 1004424000