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1004014912 = 26431372663
BaseRepresentation
bin111011110110000…
…000110101000000
32120222020020112111
4323312000311000
54024011434122
6243343305104
733610662115
oct7366006500
92528206474
101004014912
1147581629a
122402ab194
13130014784
14974b490c
155d225d77
hex3bd80d40

1004014912 has 56 divisors (see below), whose sum is σ = 2054327616. Its totient is φ = 486571008.

The previous prime is 1004014909. The next prime is 1004014933. The reversal of 1004014912 is 2194104001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375693 + ... + 378355.

Almost surely, 21004014912 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 1004014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027163808).

1004014912 is an abundant number, since it is smaller than the sum of its proper divisors (1050312704).

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

1004014912 is a wasteful number, since it uses less digits than its factorization.

1004014912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1004014912 is about 31686.1943439095. The cubic root of 1004014912 is about 1001.3365169267.

Adding to 1004014912 its reverse (2194104001), we get a palindrome (3198118913).

The spelling of 1004014912 in words is "one billion, four million, fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 137 172 274 344 548 688 1096 1376 2192 2663 2752 4384 5326 5891 8768 10652 11782 21304 23564 42608 47128 85216 94256 114509 170432 188512 229018 364831 377024 458036 729662 916072 1459324 1832144 2918648 3664288 5837296 7328576 11674592 15687733 23349184 31375466 62750932 125501864 251003728 502007456 1004014912