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413922474 = 2347537197
BaseRepresentation
bin11000101010111…
…111010010101010
31001211212102220000
4120222333102222
51321431004344
6105023443430
713154166030
oct3052772252
91054772800
10413922474
111a2715099
12b6756576
13679a7654
143cd8a550
1526513a69
hex18abf4aa

413922474 has 160 divisors (see below), whose sum is σ = 1106493696. Its totient is φ = 113218560.

The previous prime is 413922473. The next prime is 413922479. The reversal of 413922474 is 474229314.

It is not an unprimeable number, because it can be changed into a prime (413922473) 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, 4267194 + ... + 4267290.

Almost surely, 2413922474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413922474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553246848).

413922474 is an abundant number, since it is smaller than the sum of its proper divisors (692571222).

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

413922474 is a wasteful number, since it uses less digits than its factorization.

413922474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 413922474 is about 20345.0847626644. The cubic root of 413922474 is about 745.2574663767.

The spelling of 413922474 in words is "four hundred thirteen million, nine hundred twenty-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 71 81 97 106 126 142 159 162 189 194 213 291 318 371 378 426 477 497 567 582 639 679 742 873 954 994 1113 1134 1278 1358 1431 1491 1746 1917 2037 2226 2619 2862 2982 3339 3763 3834 4074 4293 4473 5141 5238 5751 6111 6678 6887 7526 7857 8586 8946 10017 10282 11289 11502 12222 13419 13774 15423 15714 18333 20034 20661 22578 26341 26838 30051 30846 33867 35987 36666 40257 41322 46269 48209 52682 54999 60102 61983 67734 71974 79023 80514 92538 96418 101601 107961 109998 123966 138807 144627 158046 185949 203202 215922 237069 277614 289254 304803 323883 365011 371898 416421 433881 474138 557847 609606 647766 711207 730022 832842 867762 971649 1095033 1115694 1301643 1422414 1943298 2133621 2190066 2555077 2603286 2914947 3285099 3904929 4267242 5110154 5829894 6570198 7665231 7809858 9855297 15330462 19710594 22995693 29565891 45991386 59131782 68987079 137974158 206961237 413922474