Search a number
-
+
1450552356 = 2232112973433
BaseRepresentation
bin101011001110101…
…1010110000100100
310202002110200202100
41112131122300210
510432320133411
6355534212100
750642330421
oct12635326044
93662420670
101450552356
11684887500
12345954030
131a169b406
14da910d48
158752d456
hex5675ac24

1450552356 has 108 divisors (see below), whose sum is σ = 4073046796. Its totient is φ = 434903040.

The previous prime is 1450552351. The next prime is 1450552373. The reversal of 1450552356 is 6532550541.

1450552356 is a `hidden beast` number, since 1 + 4 + 50 + 552 + 3 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 564537600 + 886014756 = 23760^2 + 29766^2 .

It is a super-3 number, since 3×14505523563 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 1450552356.

It is not an unprimeable number, because it can be changed into a prime (1450552351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 420816 + ... + 424248.

Almost surely, 21450552356 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 1450552356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036523398).

1450552356 is an abundant number, since it is smaller than the sum of its proper divisors (2622494440).

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

1450552356 is a wasteful number, since it uses less digits than its factorization.

1450552356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 1450552356 is about 38086.1176283433. The cubic root of 1450552356 is about 1131.9948983609.

The spelling of 1450552356 in words is "one billion, four hundred fifty million, five hundred fifty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 121 132 194 198 242 291 363 388 396 484 582 726 873 1067 1089 1164 1452 1746 2134 2178 3201 3433 3492 4268 4356 6402 6866 9603 10299 11737 12804 13732 19206 20598 23474 30897 35211 37763 38412 41196 46948 61794 70422 75526 105633 113289 123588 140844 151052 211266 226578 333001 339867 415393 422532 453156 666002 679734 830786 999003 1246179 1332004 1359468 1661572 1998006 2492358 2997009 3663011 3738537 3996012 4984716 5994018 7326022 7477074 10989033 11988036 14652044 14954148 21978066 32967099 40293121 43956132 65934198 80586242 120879363 131868396 161172484 241758726 362638089 483517452 725276178 1450552356