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554400032 = 25314143317
BaseRepresentation
bin100001000010110…
…111100100100000
31102122012102212112
4201002313210200
52113411300112
6131002414452
716511215424
oct4102674440
91378172775
10554400032
11264a42a4a
12135801428
138ab21174
14538b6b84
1533a11a22
hex210b7920

554400032 has 96 divisors (see below), whose sum is σ = 1184730624. Its totient is φ = 254822400.

The previous prime is 554400023. The next prime is 554400037. The reversal of 554400032 is 230004455.

It is a junction number, because it is equal to n+sod(n) for n = 554399980 and 554400007.

It is not an unprimeable number, because it can be changed into a prime (554400037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1748738 + ... + 1749054.

It is an arithmetic number, because the mean of its divisors is an integer number (12340944).

Almost surely, 2554400032 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 554400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592365312).

554400032 is an abundant number, since it is smaller than the sum of its proper divisors (630330592).

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

554400032 is a wasteful number, since it uses less digits than its factorization.

554400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 554400032 is about 23545.7009239479. The cubic root of 554400032 is about 821.5003426006.

Adding to 554400032 its reverse (230004455), we get a palindrome (784404487).

The spelling of 554400032 in words is "five hundred fifty-four million, four hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 41 43 62 82 86 124 164 172 248 317 328 344 496 634 656 688 992 1268 1271 1312 1333 1376 1763 2536 2542 2666 3526 5072 5084 5332 7052 9827 10144 10168 10664 12997 13631 14104 19654 20336 21328 25994 27262 28208 39308 40672 42656 51988 54524 54653 56416 78616 103976 109048 109306 157232 207952 218096 218612 314464 402907 415904 422561 436192 437224 558871 805814 845122 874448 1117742 1611628 1690244 1748896 2235484 3223256 3380488 4470968 6446512 6760976 8941936 12893024 13521952 17325001 17883872 34650002 69300004 138600008 277200016 554400032