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475407040 = 26517281311
BaseRepresentation
bin11100010101100…
…010001011000000
31020010120011212011
4130111202023000
51433201011130
6115101342304
714531615233
oct3425421300
91203504764
10475407040
1122439a389
12113267994
1377654254
14471d341a
152bb0b52a
hex1c5622c0

475407040 has 112 divisors (see below), whose sum is σ = 1206788544. Its totient is φ = 177766400.

The previous prime is 475407019. The next prime is 475407061. The reversal of 475407040 is 40704574.

It is an interprime number because it is at equal distance from previous prime (475407019) and next prime (475407061).

It is a hoax number, since the sum of its digits (31) 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 = 475406993 and 475407011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528485 + ... + 1528795.

Almost surely, 2475407040 is an apocalyptic number.

475407040 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 475407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603394272).

475407040 is an abundant number, since it is smaller than the sum of its proper divisors (731381504).

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

475407040 is a wasteful number, since it uses less digits than its factorization.

475407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 475407040 is about 21803.8308560675. The cubic root of 475407040 is about 780.4681826545.

The spelling of 475407040 in words is "four hundred seventy-five million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 281 311 320 340 544 562 622 680 1088 1124 1244 1360 1405 1555 2248 2488 2720 2810 3110 4496 4777 4976 5287 5440 5620 6220 8992 9554 9952 10574 11240 12440 17984 19108 19904 21148 22480 23885 24880 26435 38216 42296 44960 47770 49760 52870 76432 84592 87391 89920 95540 99520 105740 152864 169184 174782 191080 211480 305728 338368 349564 382160 422960 436955 699128 764320 845920 873910 1398256 1485647 1528640 1691840 1747820 2796512 2971294 3495640 5593024 5942588 6991280 7428235 11885176 13982560 14856470 23770352 27965120 29712940 47540704 59425880 95081408 118851760 237703520 475407040