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498442952 = 23729535791
BaseRepresentation
bin11101101101011…
…010001011001000
31021201220112012002
4131231122023020
52010100133302
6121243210132
715231460310
oct3555321310
91251815162
10498442952
112363a3627
1211ab16948
137c35b477
144a2ac440
152db5bc02
hex1db5a2c8

498442952 has 64 divisors (see below), whose sum is σ = 1125964800. Its totient is φ = 202325760.

The previous prime is 498442921. The next prime is 498442957. The reversal of 498442952 is 259244894.

It is a pancake number, because a pancake can be divided into 498442952 parts by 31573 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 498442897 and 498442906.

It is not an unprimeable number, because it can be changed into a prime (498442957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83177 + ... + 88967.

It is an arithmetic number, because the mean of its divisors is an integer number (17593200).

Almost surely, 2498442952 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 498442952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562982400).

498442952 is an abundant number, since it is smaller than the sum of its proper divisors (627521848).

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

498442952 is a wasteful number, since it uses less digits than its factorization.

498442952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5882 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 498442952 is about 22325.8359753896. The cubic root of 498442952 is about 792.8757827365.

The spelling of 498442952 in words is "four hundred ninety-eight million, four hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 53 56 58 106 116 203 212 232 371 406 424 742 812 1484 1537 1624 2968 3074 5791 6148 10759 11582 12296 21518 23164 40537 43036 46328 81074 86072 162148 167939 306923 324296 335878 613846 671756 1175573 1227692 1343512 2148461 2351146 2455384 4296922 4702292 8593844 8900767 9404584 17187688 17801534 35603068 62305369 71206136 124610738 249221476 498442952