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407441097 = 3472971349
BaseRepresentation
bin11000010010010…
…000111011001001
31001101200011010000
4120102100323021
51313301103342
6104232513213
713045122630
oct3022207311
91041604100
10407441097
11199a98588
12b454b809
136654850b
143c180517
1525b8344c
hex18490ec9

407441097 has 80 divisors (see below), whose sum is σ = 731808000. Its totient is φ = 220993920.

The previous prime is 407441093. The next prime is 407441101. The reversal of 407441097 is 790144704.

It is an interprime number because it is at equal distance from previous prime (407441093) and next prime (407441101).

It is not a de Polignac number, because 407441097 - 22 = 407441093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407441093) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1167279 + ... + 1167627.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2407441097 is an apocalyptic number.

It is an amenable number.

407441097 is a deficient number, since it is larger than the sum of its proper divisors (324366903).

407441097 is a wasteful number, since it uses less digits than its factorization.

407441097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 407441097 is about 20185.1702246971. The cubic root of 407441097 is about 741.3471303795.

The spelling of 407441097 in words is "four hundred seven million, four hundred forty-one thousand, ninety-seven".

Divisors: 1 3 7 9 21 27 29 63 71 81 87 189 203 213 261 349 497 567 609 639 783 1047 1491 1827 1917 2059 2349 2443 3141 4473 5481 5751 6177 7329 9423 10121 13419 14413 16443 18531 21987 24779 28269 30363 40257 43239 55593 65961 70847 74337 91089 129717 166779 173453 197883 212541 223011 273267 389151 520359 637623 669033 718591 819801 1167453 1561077 1912869 2007099 2155773 4683231 5030137 5738607 6467319 14049693 15090411 19401957 45271233 58205871 135813699 407441097