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471997440 = 21032510243
BaseRepresentation
bin11100001000100…
…001110000000000
31012220010221202200
4130020201300000
51431312404230
6114500313200
714460624555
oct3410416000
91186127680
10471997440
11222480732
121120a2800
1376a2c335
1446986a2c
152b686160
hex1c221c00

471997440 has 132 divisors (see below), whose sum is σ = 1635618504. Its totient is φ = 125853696.

The previous prime is 471997439. The next prime is 471997483. The reversal of 471997440 is 44799174.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40959 + ... + 51201.

Almost surely, 2471997440 is an apocalyptic number.

471997440 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 471997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817809252).

471997440 is an abundant number, since it is smaller than the sum of its proper divisors (1163621064).

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

471997440 is a wasteful number, since it uses less digits than its factorization.

471997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 471997440 is about 21725.5020655450. The cubic root of 471997440 is about 778.5978755350.

The spelling of 471997440 in words is "four hundred seventy-one million, nine hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 10243 11520 15360 20486 23040 30729 40972 46080 51215 61458 81944 92187 102430 122916 153645 163888 184374 204860 245832 307290 327776 368748 409720 460935 491664 614580 655552 737496 819440 921870 983328 1229160 1311104 1474992 1638880 1843740 1966656 2458320 2622208 2949984 3277760 3687480 3933312 4916640 5244416 5899968 6555520 7374960 7866624 9833280 10488832 11799936 13111040 14749920 15733248 19666560 23599872 26222080 29499840 31466496 39333120 47199744 52444160 58999680 78666240 94399488 117999360 157332480 235998720 471997440