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503381004 = 2237371491087
BaseRepresentation
bin11110000000001…
…111110000001100
31022002012101220220
4132000033300030
52012331143004
6121541111340
715321445050
oct3600176014
91262171826
10503381004
11239166665
121206b8550
1380399ca9
144abd5c60
152e2d4dd9
hex1e00fc0c

503381004 has 96 divisors (see below), whose sum is σ = 1389158400. Its totient is φ = 138868992.

The previous prime is 503380981. The next prime is 503381009. The reversal of 503381004 is 400183305.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (503381009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462549 + ... + 463635.

It is an arithmetic number, because the mean of its divisors is an integer number (14470400).

Almost surely, 2503381004 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 503381004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694579200).

503381004 is an abundant number, since it is smaller than the sum of its proper divisors (885777396).

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

503381004 is a wasteful number, since it uses less digits than its factorization.

503381004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 503381004 is about 22436.1539484823. The cubic root of 503381004 is about 795.4855117490.

The spelling of 503381004 in words is "five hundred three million, three hundred eighty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 149 222 259 298 444 447 518 596 777 894 1036 1043 1087 1554 1788 2086 2174 3108 3129 3261 4172 4348 5513 6258 6522 7609 11026 12516 13044 15218 16539 22052 22827 30436 33078 38591 40219 45654 66156 77182 80438 91308 115773 120657 154364 160876 161963 231546 241314 281533 323926 463092 482628 485889 563066 647852 844599 971778 1126132 1133741 1689198 1943556 2267482 3378396 3401223 4534964 5992631 6802446 11985262 13604892 17977893 23970524 35955786 41948417 71911572 83896834 125845251 167793668 251690502 503381004