Search a number
-
+
467828040 = 23354195087
BaseRepresentation
bin11011111000100…
…111110101001000
31012121022010102110
4123320213311020
51424230444130
6114231102320
714410321101
oct3370476510
91177263373
10467828040
11220093149
121108119a0
1375bcc634
14461bd3a8
152b110ab0
hex1be27d48

467828040 has 64 divisors (see below), whose sum is σ = 1437730560. Its totient is φ = 121710080.

The previous prime is 467827961. The next prime is 467828041. The reversal of 467828040 is 40828764.

It is a self number, because there is not a number n which added to its sum of digits gives 467828040.

It is not an unprimeable number, because it can be changed into a prime (467828041) 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, 42624 + ... + 52463.

It is an arithmetic number, because the mean of its divisors is an integer number (22464540).

Almost surely, 2467828040 is an apocalyptic number.

467828040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467828040 is an abundant number, since it is smaller than the sum of its proper divisors (969902520).

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

467828040 is a wasteful number, since it uses less digits than its factorization.

467828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95142 (or 95138 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 467828040 is about 21629.3328607241. The cubic root of 467828040 is about 776.2985043892.

The spelling of 467828040 in words is "four hundred sixty-seven million, eight hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 95087 190174 285261 380348 475435 570522 760696 950870 1141044 1426305 1901740 2282088 2852610 3803480 3898567 5705220 7797134 11410440 11695701 15594268 19492835 23391402 31188536 38985670 46782804 58478505 77971340 93565608 116957010 155942680 233914020 467828040