Search a number
-
+
427921056 = 2535113487
BaseRepresentation
bin11001100000011…
…000111010100000
31002211012122100000
4121200120322200
51334021433211
6110243500000
713414161153
oct3140307240
91084178300
10427921056
111aa606472
12bb387600
136a869234
1440b91c9a
152787b656
hex19818ea0

427921056 has 144 divisors (see below), whose sum is σ = 1275753024. Its totient is φ = 141087744.

The previous prime is 427921037. The next prime is 427921057. The reversal of 427921056 is 650129724.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 427921056.

It is not an unprimeable number, because it can be changed into a prime (427921057) 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 23 ways as a sum of consecutive naturals, for example, 878445 + ... + 878931.

It is an arithmetic number, because the mean of its divisors is an integer number (8859396).

Almost surely, 2427921056 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 427921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637876512).

427921056 is an abundant number, since it is smaller than the sum of its proper divisors (847831968).

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

427921056 is a wasteful number, since it uses less digits than its factorization.

427921056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 427921056 is about 20686.2528264546. The cubic root of 427921056 is about 753.5658672520.

The spelling of 427921056 in words is "four hundred twenty-seven million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 113 144 162 216 226 243 288 324 339 432 452 486 487 648 678 864 904 972 974 1017 1296 1356 1461 1808 1944 1948 2034 2592 2712 2922 3051 3616 3888 3896 4068 4383 5424 5844 6102 7776 7792 8136 8766 9153 10848 11688 12204 13149 15584 16272 17532 18306 23376 24408 26298 27459 32544 35064 36612 39447 46752 48816 52596 54918 55031 70128 73224 78894 97632 105192 109836 110062 118341 140256 146448 157788 165093 210384 219672 220124 236682 292896 315576 330186 420768 439344 440248 473364 495279 631152 660372 878688 880496 946728 990558 1262304 1320744 1485837 1760992 1893456 1981116 2641488 2971674 3786912 3962232 4457511 5282976 5943348 7924464 8915022 11886696 13372533 15848928 17830044 23773392 26745066 35660088 47546784 53490132 71320176 106980264 142640352 213960528 427921056