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480525364 = 221123726833
BaseRepresentation
bin11100101001000…
…011110000110100
31020111012012212201
4130221003300310
51441003302424
6115403154244
714623253404
oct3451036064
91214165781
10480525364
11227275900
12114b15984
1378726b47
1447b66804
152c2bcd44
hex1ca43c34

480525364 has 36 divisors (see below), whose sum is σ = 949333252. Its totient is φ = 212509440.

The previous prime is 480525313. The next prime is 480525391. The reversal of 480525364 is 463525084.

It can be written as a sum of positive squares in 2 ways, for example, as 233784100 + 246741264 = 15290^2 + 15708^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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 11 ways as a sum of consecutive naturals, for example, 4492 + ... + 31324.

Almost surely, 2480525364 is an apocalyptic number.

480525364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480525364 is a deficient number, since it is larger than the sum of its proper divisors (468807888).

480525364 is a wasteful number, since it uses less digits than its factorization.

480525364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26896 (or 26883 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 480525364 is about 21920.8887593546. Note that the first 3 decimals coincide. The cubic root of 480525364 is about 783.2590810962.

The spelling of 480525364 in words is "four hundred eighty million, five hundred twenty-five thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 74 121 148 242 407 484 814 1628 4477 8954 17908 26833 53666 107332 295163 590326 992821 1180652 1985642 3246793 3971284 6493586 10921031 12987172 21842062 43684124 120131341 240262682 480525364