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534401056 = 2572499683
BaseRepresentation
bin11111110110100…
…101000000100000
31101020120101102201
4133312211000200
52043301313211
6125010022544
716146222400
oct3766450040
91336511381
10534401056
11254723472
1212ab77a54
138693b357
1450d8c800
1531db10c1
hex1fda5020

534401056 has 72 divisors (see below), whose sum is σ = 1228122000. Its totient is φ = 228235392.

The previous prime is 534401051. The next prime is 534401057. The reversal of 534401056 is 650104435.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (534401051) by changing a digit.

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, 782091 + ... + 782773.

It is an arithmetic number, because the mean of its divisors is an integer number (17057250).

Almost surely, 2534401056 is an apocalyptic number.

534401056 is a gapful number since it is divisible by the number (56) 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 534401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614061000).

534401056 is an abundant number, since it is smaller than the sum of its proper divisors (693720944).

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

534401056 is a wasteful number, since it uses less digits than its factorization.

534401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 534401056 is about 23117.1160831104. The cubic root of 534401056 is about 811.5010807480.

The spelling of 534401056 in words is "five hundred thirty-four million, four hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 499 683 784 998 1366 1568 1996 2732 3493 3992 4781 5464 6986 7984 9562 10928 13972 15968 19124 21856 24451 27944 33467 38248 48902 55888 66934 76496 97804 111776 133868 152992 195608 267736 340817 391216 535472 681634 782432 1070944 1363268 2385719 2726536 4771438 5453072 9542876 10906144 16700033 19085752 33400066 38171504 66800132 76343008 133600264 267200528 534401056