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482511492 = 2235661751
BaseRepresentation
bin11100110000101…
…000101010000100
31020121221010100000
4130300220222010
51442010331432
6115513521300
714646165021
oct3460505204
91217833300
10482511492
11228402031
12115713230
1378c70b78
1448122548
152c56157c
hex1cc28a84

482511492 has 72 divisors (see below), whose sum is σ = 1268455552. Its totient is φ = 160380000.

The previous prime is 482511439. The next prime is 482511511. The reversal of 482511492 is 294115284.

It is a super-3 number, since 3×4825114923 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642117 + ... + 642867.

Almost surely, 2482511492 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 482511492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634227776).

482511492 is an abundant number, since it is smaller than the sum of its proper divisors (785944060).

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

482511492 is a wasteful number, since it uses less digits than its factorization.

482511492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1417 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 482511492 is about 21966.1442224165. The cubic root of 482511492 is about 784.3367310462.

The spelling of 482511492 in words is "four hundred eighty-two million, five hundred eleven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 661 751 972 1322 1502 1983 2253 2644 3004 3966 4506 5949 6759 7932 9012 11898 13518 17847 20277 23796 27036 35694 40554 53541 60831 71388 81108 107082 121662 160623 182493 214164 243324 321246 364986 496411 642492 729972 992822 1489233 1985644 2978466 4467699 5956932 8935398 13403097 17870796 26806194 40209291 53612388 80418582 120627873 160837164 241255746 482511492