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481878480 = 24352007827
BaseRepresentation
bin11100101110001…
…110000111010000
31020120201222000010
4130232032013100
51441330102410
6115452154520
714640620346
oct3456160720
91216658003
10481878480
1122800a486
12115468a40
1378aab9c5
1447dd9996
152c488c20
hex1cb8e1d0

481878480 has 40 divisors (see below), whose sum is σ = 1493824032. Its totient is φ = 128500864.

The previous prime is 481878479. The next prime is 481878487. The reversal of 481878480 is 84878184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4818784802 = 464413738974220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481878487) 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, 1003674 + ... + 1004153.

Almost surely, 2481878480 is an apocalyptic number.

481878480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481878480 is an abundant number, since it is smaller than the sum of its proper divisors (1011945552).

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

481878480 is a wasteful number, since it uses less digits than its factorization.

481878480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007843 (or 2007837 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 481878480 is about 21951.7306834792. The cubic root of 481878480 is about 783.9935876888.

The spelling of 481878480 in words is "four hundred eighty-one million, eight hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2007827 4015654 6023481 8031308 10039135 12046962 16062616 20078270 24093924 30117405 32125232 40156540 48187848 60234810 80313080 96375696 120469620 160626160 240939240 481878480