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478836240 = 24353753923
BaseRepresentation
bin11100100010100…
…111011000010000
31020101000101211120
4130202213120100
51440040224430
6115303042240
714603020011
oct3442473020
91211011746
10478836240
11226321833
12114440380
137828506c
1447847008
152c087610
hex1c8a7610

478836240 has 80 divisors (see below), whose sum is σ = 1524539328. Its totient is φ = 124236288.

The previous prime is 478836227. The next prime is 478836247. The reversal of 478836240 is 42638874.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 478836192 and 478836201.

It is not an unprimeable number, because it can be changed into a prime (478836247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18082 + ... + 35841.

Almost surely, 2478836240 is an apocalyptic number.

478836240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478836240 is an abundant number, since it is smaller than the sum of its proper divisors (1045703088).

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

478836240 is a wasteful number, since it uses less digits than its factorization.

478836240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53976 (or 53970 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 478836240 is about 21882.3271157343. The cubic root of 478836240 is about 782.3402430513.

The spelling of 478836240 in words is "four hundred seventy-eight million, eight hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 53923 107846 161769 215692 269615 323538 431384 539230 647076 808845 862768 1078460 1294152 1617690 1995151 2156920 2588304 3235380 3990302 4313840 5985453 6470760 7980604 9975755 11970906 12941520 15961208 19951510 23941812 29927265 31922416 39903020 47883624 59854530 79806040 95767248 119709060 159612080 239418120 478836240