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503316480 = 22535
BaseRepresentation
bin11110000000000…
…000000000000000
31022002002010102010
4132000000000000
52012322111410
6121535452520
715321055662
oct3600000000
91262063363
10503316480
11239122137
12120687140
1380376804
144abba532
152e2c0c20
hex1e000000

503316480 has 104 divisors (see below), whose sum is σ = 1610612712. Its totient is φ = 134217728.

The previous prime is 503316469. The next prime is 503316511. The reversal of 503316480 is 84613305.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)22.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 503316480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100663294 + ... + 100663298.

Almost surely, 2503316480 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 503316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805306356).

503316480 is an abundant number, since it is smaller than the sum of its proper divisors (1107296232).

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

503316480 is an frugal number, since it uses more digits than its factorization.

503316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 503316480 is about 22434.7159554116. The cubic root of 503316480 is about 795.4515215242.

Multiplying 503316480 by its sum of digits (30), we get a square (15099494400 = 1228802).

503316480 divided by its sum of digits (30) gives a 24-th power (16777216 = 224).

Adding to 503316480 its reverse (84613305), we get a palindrome (587929785).

The spelling of 503316480 in words is "five hundred three million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 83886080 100663296 125829120 167772160 251658240 503316480