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473459742 = 2357294799
BaseRepresentation
bin11100001110000…
…110110000011110
31012222220020200000
4130032012300132
51432201202432
6114551515130
714506225050
oct3416066036
91188806600
10473459742
1122328a348
12112688aa6
1377121ac2
1446c478d0
152b87457c
hex1c386c1e

473459742 has 96 divisors (see below), whose sum is σ = 1257984000. Its totient is φ = 130582368.

The previous prime is 473459731. The next prime is 473459747. The reversal of 473459742 is 247954374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473459747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96259 + ... + 101057.

It is an arithmetic number, because the mean of its divisors is an integer number (13104000).

Almost surely, 2473459742 is an apocalyptic number.

473459742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 473459742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

473459742 is an abundant number, since it is smaller than the sum of its proper divisors (784524258).

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

473459742 is a wasteful number, since it uses less digits than its factorization.

473459742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4840 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 473459742 is about 21759.1300837143. The cubic root of 473459742 is about 779.4011083301.

The spelling of 473459742 in words is "four hundred seventy-three million, four hundred fifty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 243 261 378 406 486 522 567 609 783 1134 1218 1566 1701 1827 2349 3402 3654 4698 4799 5481 7047 9598 10962 14094 14397 16443 28794 32886 33593 43191 49329 67186 86382 98658 100779 129573 139171 201558 259146 278342 302337 388719 417513 604674 777438 835026 907011 974197 1166157 1252539 1814022 1948394 2332314 2505078 2721033 2922591 3757617 5442066 5845182 7515234 8163099 8767773 11272851 16326198 17535546 22545702 26303319 33818553 52606638 67637106 78909957 157819914 236729871 473459742