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474111840 = 25351138741
BaseRepresentation
bin11100010000100…
…101111101100000
31020001010101011210
4130100211331200
51432333034330
6115013510120
714514612156
oct3420457540
91201111153
10474111840
11223695274
12112942340
13772bc867
1446d773d6
152b9528b0
hex1c425f60

474111840 has 96 divisors (see below), whose sum is σ = 1506841056. Its totient is φ = 125296640.

The previous prime is 474111817. The next prime is 474111907. The reversal of 474111840 is 48111474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 474111798 and 474111807.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49870 + ... + 58610.

It is an arithmetic number, because the mean of its divisors is an integer number (15696261).

Almost surely, 2474111840 is an apocalyptic number.

474111840 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 474111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753420528).

474111840 is an abundant number, since it is smaller than the sum of its proper divisors (1032729216).

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

474111840 is a wasteful number, since it uses less digits than its factorization.

474111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 474111840 is about 21774.1093962532. The cubic root of 474111840 is about 779.7587682681.

The spelling of 474111840 in words is "four hundred seventy-four million, one hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 8741 9040 10848 13560 17482 18080 26223 27120 34964 43705 52446 54240 69928 87410 104892 131115 139856 174820 209784 262230 279712 349640 419568 524460 699280 839136 987733 1048920 1398560 1975466 2097840 2963199 3950932 4195680 4938665 5926398 7901864 9877330 11852796 14815995 15803728 19754660 23705592 29631990 31607456 39509320 47411184 59263980 79018640 94822368 118527960 158037280 237055920 474111840