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375755040 = 25325260941
BaseRepresentation
bin10110011001011…
…001000100100000
3222012001100000100
4112121121010200
51232143130130
6101141422400
712211602513
oct2631310440
9865040010
10375755040
11183116361
12a5a0aa00
135cb02c7b
1437c92d7a
1522ec4c60
hex16659120

375755040 has 72 divisors (see below), whose sum is σ = 1282268988. Its totient is φ = 100200960.

The previous prime is 375755033. The next prime is 375755041. The reversal of 375755040 is 40557573.

375755040 is a `hidden beast` number, since 37 + 575 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349989264 + 25765776 = 18708^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 375754986 and 375755004.

It is not an unprimeable number, because it can be changed into a prime (375755041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 129031 + ... + 131910.

Almost surely, 2375755040 is an apocalyptic number.

375755040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

375755040 is an abundant number, since it is smaller than the sum of its proper divisors (906513948).

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

375755040 is a wasteful number, since it uses less digits than its factorization.

375755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260962 (or 260951 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 375755040 is about 19384.4019768473. The cubic root of 375755040 is about 721.6084411905.

The spelling of 375755040 in words is "three hundred seventy-five million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 260941 521882 782823 1043764 1304705 1565646 2087528 2348469 2609410 3131292 3914115 4175056 4696938 5218820 6262584 7828230 8350112 9393876 10437640 11742345 12525168 15656460 18787752 20875280 23484690 25050336 31312920 37575504 41750560 46969380 62625840 75151008 93938760 125251680 187877520 375755040