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473236480 = 2105175437
BaseRepresentation
bin11100001101010…
…000010000000000
31012222110220102001
4130031100100000
51432122031410
6114543033344
714504305123
oct3415202000
91188426361
10473236480
11223147632
1211259b854
13770742b2
1446bca3ba
152b82d33a
hex1c350400

473236480 has 88 divisors (see below), whose sum is σ = 1202211288. Its totient is φ = 178126848.

The previous prime is 473236427. The next prime is 473236499. The reversal of 473236480 is 84632374.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 109495296 + 363741184 = 10464^2 + 19072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84322 + ... + 89758.

Almost surely, 2473236480 is an apocalyptic number.

473236480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601105644).

473236480 is an abundant number, since it is smaller than the sum of its proper divisors (728974808).

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

473236480 is a wasteful number, since it uses less digits than its factorization.

473236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 473236480 is about 21753.9991725659. Note that the first 3 decimals coincide. The cubic root of 473236480 is about 779.2785790745.

The spelling of 473236480 in words is "four hundred seventy-three million, two hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2176 2560 2720 4352 5120 5437 5440 8704 10874 10880 17408 21748 21760 27185 43496 43520 54370 86992 87040 92429 108740 173984 184858 217480 347968 369716 434960 462145 695936 739432 869920 924290 1391872 1478864 1739840 1848580 2783744 2957728 3479680 3697160 5567488 5915456 6959360 7394320 11830912 13918720 14788640 23661824 27837440 29577280 47323648 59154560 94647296 118309120 236618240 473236480