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471992640 = 2635770237
BaseRepresentation
bin11100001000100…
…000100101000000
31012220010201011220
4130020200211000
51431312231030
6114500235040
714460604560
oct3410404500
91186121156
10471992640
11222478069
1211209ba80
1376a2a0b2
1446984da0
152b684a10
hex1c220940

471992640 has 112 divisors (see below), whose sum is σ = 1712683392. Its totient is φ = 107882496.

The previous prime is 471992611. The next prime is 471992663. The reversal of 471992640 is 46299174.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 471992592 and 471992601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28399 + ... + 41838.

It is an arithmetic number, because the mean of its divisors is an integer number (15291816).

Almost surely, 2471992640 is an apocalyptic number.

471992640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

471992640 is an abundant number, since it is smaller than the sum of its proper divisors (1240690752).

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

471992640 is a wasteful number, since it uses less digits than its factorization.

471992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70264 (or 70254 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 471992640 is about 21725.3915960104. The cubic root of 471992640 is about 778.5952361969.

The spelling of 471992640 in words is "four hundred seventy-one million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 70237 140474 210711 280948 351185 421422 491659 561896 702370 842844 983318 1053555 1123792 1404740 1474977 1685688 1966636 2107110 2247584 2458295 2809480 2949954 3371376 3933272 4214220 4495168 4916590 5618960 5899908 6742752 7374885 7866544 8428440 9833180 11237920 11799816 13485504 14749770 15733088 16856880 19666360 22475840 23599632 29499540 31466176 33713760 39332720 47199264 58999080 67427520 78665440 94398528 117998160 157330880 235996320 471992640