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3748513920 = 27351952351
BaseRepresentation
bin1101111101101101…
…1100100010000000
3100200020111020101220
43133123130202000
530134104421140
61415543355040
7161614562004
oct33733344200
910606436356
103748513920
111653a35a98
12887452a80
134797ab798
14277bac704
1516e14abd0
hexdf6dc880

3748513920 has 64 divisors (see below), whose sum is σ = 11948394240. Its totient is φ = 999603200.

The previous prime is 3748513913. The next prime is 3748513921. The reversal of 3748513920 is 293158473.

3748513920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3748513921) 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, 974256 + ... + 978095.

It is an arithmetic number, because the mean of its divisors is an integer number (186693660).

Almost surely, 23748513920 is an apocalyptic number.

3748513920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3748513920 is an abundant number, since it is smaller than the sum of its proper divisors (8199880320).

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

3748513920 is a wasteful number, since it uses less digits than its factorization.

3748513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952373 (or 1952361 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3748513920 is about 61225.1085748323. The cubic root of 3748513920 is about 1553.4109993688.

The spelling of 3748513920 in words is "three billion, seven hundred forty-eight million, five hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1952351 3904702 5857053 7809404 9761755 11714106 15618808 19523510 23428212 29285265 31237616 39047020 46856424 58570530 62475232 78094040 93712848 117141060 124950464 156188080 187425696 234282120 249900928 312376160 374851392 468564240 624752320 749702784 937128480 1249504640 1874256960 3748513920