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3748956456 = 233722315217
BaseRepresentation
bin1101111101110100…
…1000100100101000
3100200021022201110010
43133131020210220
530134213101311
61420001051520
7161621414130
oct33735104450
910607281403
103748956456
111654208523
12887626ba0
1347990503b
14277c85ac0
1516e1d6da6
hexdf748928

3748956456 has 32 divisors (see below), whose sum is σ = 10711304640. Its totient is φ = 1071130368.

The previous prime is 3748956427. The next prime is 3748956493. The reversal of 3748956456 is 6546598473.

3748956456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3748956396 and 3748956405.

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, 11157441 + ... + 11157776.

It is an arithmetic number, because the mean of its divisors is an integer number (334728270).

Almost surely, 23748956456 is an apocalyptic number.

It is an amenable number.

3748956456 is an abundant number, since it is smaller than the sum of its proper divisors (6962348184).

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

3748956456 is a wasteful number, since it uses less digits than its factorization.

3748956456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22315233 (or 22315229 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The square root of 3748956456 is about 61228.7224756486. The cubic root of 3748956456 is about 1553.4721269920.

The spelling of 3748956456 in words is "three billion, seven hundred forty-eight million, nine hundred fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 22315217 44630434 66945651 89260868 133891302 156206519 178521736 267782604 312413038 468619557 535565208 624826076 937239114 1249652152 1874478228 3748956456