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5490504 = 233437229
BaseRepresentation
bin10100111100011101001000
3101022221120000
4110330131020
52401144004
6313403000
764445205
oct24743510
911287500
105490504
113110108
121a09460
1311a3126
14a2ccac
15736c39
hex53c748

5490504 has 80 divisors (see below), whose sum is σ = 15863100. Its totient is φ = 1772928.

The previous prime is 5490451. The next prime is 5490517. The reversal of 5490504 is 4050945.

It can be written as a sum of positive squares in 2 ways, for example, as 4284900 + 1205604 = 2070^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23862 + ... + 24090.

Almost surely, 25490504 is an apocalyptic number.

5490504 is a gapful number since it is divisible by the number (54) 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 5490504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931550).

5490504 is an abundant number, since it is smaller than the sum of its proper divisors (10372596).

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

5490504 is a wasteful number, since it uses less digits than its factorization.

5490504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5490504 is about 2343.1824512829. The cubic root of 5490504 is about 176.4157697966.

The spelling of 5490504 in words is "five million, four hundred ninety thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 229 296 324 333 444 458 648 666 687 888 916 999 1332 1374 1832 1998 2061 2664 2748 2997 3996 4122 5496 5994 6183 7992 8244 8473 11988 12366 16488 16946 18549 23976 24732 25419 33892 37098 49464 50838 67784 74196 76257 101676 148392 152514 203352 228771 305028 457542 610056 686313 915084 1372626 1830168 2745252 5490504