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2427371904 = 27319332699
BaseRepresentation
bin1001000010101110…
…1100000110000000
320021011112021021010
42100223230012000
514432401400104
61040511000520
7114103215006
oct22053540600
96234467233
102427371904
111036208491
12578b09140
132c8b80649
14190546a76
15e3181489
hex90aec180

2427371904 has 64 divisors (see below), whose sum is σ = 6787080000. Its totient is φ = 766536192.

The previous prime is 2427371839. The next prime is 2427371957. The reversal of 2427371904 is 4091737242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 159054 + ... + 173645.

It is an arithmetic number, because the mean of its divisors is an integer number (106048125).

Almost surely, 22427371904 is an apocalyptic number.

2427371904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2427371904 is an abundant number, since it is smaller than the sum of its proper divisors (4359708096).

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

2427371904 is a wasteful number, since it uses less digits than its factorization.

2427371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332735 (or 332723 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2427371904 is about 49268.3661592304. The cubic root of 2427371904 is about 1343.9365758052.

The spelling of 2427371904 in words is "two billion, four hundred twenty-seven million, three hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 332699 665398 998097 1330796 1996194 2661592 3992388 5323184 6321281 7984776 10646368 12642562 15969552 18963843 21292736 25285124 31939104 37927686 42585472 50570248 63878208 75855372 101140496 127756416 151710744 202280992 303421488 404561984 606842976 809123968 1213685952 2427371904