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1464764640 = 25353051593
BaseRepresentation
bin101011101001110…
…1000100011100000
310210002012202100020
41113103220203200
510444434432030
6401202553440
751204202563
oct12723504340
93702182306
101464764640
11691904399
1234a668880
131a4606351
14dc7704da
15888d9510
hex574e88e0

1464764640 has 48 divisors (see below), whose sum is σ = 4614010128. Its totient is φ = 390603776.

The previous prime is 1464764633. The next prime is 1464764641. The reversal of 1464764640 is 464674641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1464764592 and 1464764601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464764641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1525317 + ... + 1526276.

It is an arithmetic number, because the mean of its divisors is an integer number (96125211).

Almost surely, 21464764640 is an apocalyptic number.

1464764640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464764640 is an abundant number, since it is smaller than the sum of its proper divisors (3149245488).

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

1464764640 is a wasteful number, since it uses less digits than its factorization.

1464764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051611 (or 3051603 counting only the distinct ones).

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

The square root of 1464764640 is about 38272.2437283209. The cubic root of 1464764640 is about 1135.6799253648.

The spelling of 1464764640 in words is "one billion, four hundred sixty-four million, seven hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3051593 6103186 9154779 12206372 15257965 18309558 24412744 30515930 36619116 45773895 48825488 61031860 73238232 91547790 97650976 122063720 146476464 183095580 244127440 292952928 366191160 488254880 732382320 1464764640