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464473680 = 243511175937
BaseRepresentation
bin11011101011110…
…100111001010000
31012100222201002220
4123223310321100
51422401124210
6114031141040
714336650446
oct3353647120
91170881086
10464473680
11219201a50
1210b674780
13752c68c8
1445988b96
152ab9bc70
hex1baf4e50

464473680 has 80 divisors (see below), whose sum is σ = 1570774464. Its totient is φ = 112599040.

The previous prime is 464473679. The next prime is 464473697. The reversal of 464473680 is 86374464.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85329 + ... + 90608.

Almost surely, 2464473680 is an apocalyptic number.

464473680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464473680 is an abundant number, since it is smaller than the sum of its proper divisors (1106300784).

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

464473680 is a wasteful number, since it uses less digits than its factorization.

464473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175964 (or 175958 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 464473680 is about 21551.6514448429. The cubic root of 464473680 is about 774.4386806061.

The spelling of 464473680 in words is "four hundred sixty-four million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 175937 351874 527811 703748 879685 1055622 1407496 1759370 1935307 2111244 2639055 2814992 3518740 3870614 4222488 5278110 5805921 7037480 7741228 8444976 9676535 10556220 11611842 14074960 15482456 19353070 21112440 23223684 29029605 30964912 38706140 42224880 46447368 58059210 77412280 92894736 116118420 154824560 232236840 464473680