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466422640 = 24519306857
BaseRepresentation
bin11011110011010…
…000101101110000
31012111122201120121
4123303100231300
51423401011030
6114141020024
714362345525
oct3363205560
91174581517
10466422640
1121a313262
12110254614
1375829a38
1445d3514c
152ae3447a
hex1bcd0b70

466422640 has 40 divisors (see below), whose sum is σ = 1141511760. Its totient is φ = 176749056.

The previous prime is 466422637. The next prime is 466422661. The reversal of 466422640 is 46224664.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 466422596 and 466422605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151909 + ... + 154948.

It is an arithmetic number, because the mean of its divisors is an integer number (28537794).

Almost surely, 2466422640 is an apocalyptic number.

466422640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466422640 is an abundant number, since it is smaller than the sum of its proper divisors (675089120).

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

466422640 is a wasteful number, since it uses less digits than its factorization.

466422640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306889 (or 306883 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 466422640 is about 21596.8201363071. The cubic root of 466422640 is about 775.5203664476.

The spelling of 466422640 in words is "four hundred sixty-six million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 306857 613714 1227428 1534285 2454856 3068570 4909712 5830283 6137140 11660566 12274280 23321132 24548560 29151415 46642264 58302830 93284528 116605660 233211320 466422640