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479874942 = 2357113907
BaseRepresentation
bin11100100110100…
…100111101111110
31020102222011200000
4130212210331332
51440321444232
6115341215130
714614604211
oct3446447576
91212864600
10479874942
11226971168
121148614a6
1378559a91
1447a37778
152c1e027c
hex1c9a4f7e

479874942 has 48 divisors (see below), whose sum is σ = 1093502592. Its totient is φ = 157694040.

The previous prime is 479874931. The next prime is 479874943. The reversal of 479874942 is 249478974.

It is a happy number.

479874942 is a `hidden beast` number, since 4 + 79 + 87 + 494 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479874943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27553 + ... + 41459.

It is an arithmetic number, because the mean of its divisors is an integer number (22781304).

Almost surely, 2479874942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479874942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546751296).

479874942 is an abundant number, since it is smaller than the sum of its proper divisors (613627650).

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

479874942 is a wasteful number, since it uses less digits than its factorization.

479874942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13995 (or 13983 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 479874942 is about 21906.0480689694. The cubic root of 479874942 is about 782.9055243390.

The spelling of 479874942 in words is "four hundred seventy-nine million, eight hundred seventy-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 1278 1917 3834 5751 11502 13907 17253 27814 34506 41721 83442 125163 250326 375489 750978 987397 1126467 1974794 2252934 2962191 3379401 5924382 6758802 8886573 17773146 26659719 53319438 79979157 159958314 239937471 479874942