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473084832 = 253112139293
BaseRepresentation
bin11100001100101…
…011001110100000
31012222012012101110
4130030223032200
51432102203312
6114535503320
714503104033
oct3414531640
91188165343
10473084832
11223053700
12112527b40
137702026c
1446b8b01a
152b7ed43c
hex1c32b3a0

473084832 has 144 divisors (see below), whose sum is σ = 1379518560. Its totient is φ = 141841920.

The previous prime is 473084813. The next prime is 473084863. The reversal of 473084832 is 238480374.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614478 + ... + 1614770.

It is an arithmetic number, because the mean of its divisors is an integer number (9579990).

Almost surely, 2473084832 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 473084832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689759280).

473084832 is an abundant number, since it is smaller than the sum of its proper divisors (906433728).

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

473084832 is a wasteful number, since it uses less digits than its factorization.

473084832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 473084832 is about 21750.5133732517. The cubic root of 473084832 is about 779.1953305872.

The spelling of 473084832 in words is "four hundred seventy-three million, eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 139 176 242 264 278 293 352 363 417 484 528 556 586 726 834 879 968 1056 1112 1172 1452 1529 1668 1758 1936 2224 2344 2904 3058 3223 3336 3516 3872 4448 4587 4688 5808 6116 6446 6672 7032 9174 9376 9669 11616 12232 12892 13344 14064 16819 18348 19338 24464 25784 28128 33638 35453 36696 38676 40727 48928 50457 51568 67276 70906 73392 77352 81454 100914 103136 106359 122181 134552 141812 146784 154704 162908 201828 212718 244362 269104 283624 309408 325816 403656 425436 447997 488724 538208 567248 651632 807312 850872 895994 977448 1134496 1303264 1343991 1614624 1701744 1791988 1954896 2687982 3403488 3583976 3909792 4927967 5375964 7167952 9855934 10751928 14335904 14783901 19711868 21503856 29567802 39423736 43007712 59135604 78847472 118271208 157694944 236542416 473084832