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3948450480 = 24325132318341
BaseRepresentation
bin1110101101011000…
…1001001010110000
3101012011201001210200
43223112021022300
531041300403410
61451444555200
7166563163302
oct35326111260
911164631720
103948450480
111746885317
129223b2b00
134ac042c40
14296575972
151819913c0
hexeb5892b0

3948450480 has 240 divisors, whose sum is σ = 14901921216. Its totient is φ = 929617920.

The previous prime is 3948450479. The next prime is 3948450487. The reversal of 3948450480 is 840548493.

It is a happy number.

3948450480 is a `hidden beast` number, since 3 + 94 + 84 + 5 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×39484504802 = 31180522386024460800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3948450487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206110 + ... + 224450.

Almost surely, 23948450480 is an apocalyptic number.

3948450480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450960608).

3948450480 is an abundant number, since it is smaller than the sum of its proper divisors (10953470736).

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

3948450480 is a wasteful number, since it uses less digits than its factorization.

3948450480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396 (or 18387 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3948450480 is about 62836.6969214646. The cubic root of 3948450480 is about 1580.5523999147.

The spelling of 3948450480 in words is "three billion, nine hundred forty-eight million, four hundred fifty thousand, four hundred eighty".