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1481883144 = 23378820733
BaseRepresentation
bin101100001010011…
…1011111000001000
310211021102110111220
41120110323320020
511013330230034
6403013522040
751502541010
oct13024737010
93737373456
101481883144
116a0536815
12354343320
131a801b041
14100b48c40
158a16b749
hex5853be08

1481883144 has 32 divisors (see below), whose sum is σ = 4233952320. Its totient is φ = 423395136.

The previous prime is 1481883133. The next prime is 1481883181. The reversal of 1481883144 is 4413881841.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1481883096 and 1481883105.

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, 4410199 + ... + 4410534.

It is an arithmetic number, because the mean of its divisors is an integer number (132311010).

Almost surely, 21481883144 is an apocalyptic number.

1481883144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1481883144 is an abundant number, since it is smaller than the sum of its proper divisors (2752069176).

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

1481883144 is a wasteful number, since it uses less digits than its factorization.

1481883144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820749 (or 8820745 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 1481883144 is about 38495.2353415329. The cubic root of 1481883144 is about 1140.0869801285.

The spelling of 1481883144 in words is "one billion, four hundred eighty-one million, eight hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8820733 17641466 26462199 35282932 52924398 61745131 70565864 105848796 123490262 185235393 211697592 246980524 370470786 493961048 740941572 1481883144