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481670016 = 2737571657
BaseRepresentation
bin11100101101011…
…011001110000000
31020120100101001020
4130231123032000
51441301420031
6115443505440
714636061522
oct3455331600
91216311036
10481670016
112279878a3
12115388280
1378a37b59
1447d83a12
152c447096
hex1cb5b380

481670016 has 64 divisors (see below), whose sum is σ = 1281899280. Its totient is φ = 160247808.

The previous prime is 481670003. The next prime is 481670029. The reversal of 481670016 is 610076184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481670003) and next prime (481670029).

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

It is a congruent number.

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, 289860 + ... + 291516.

Almost surely, 2481670016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640949640).

481670016 is an abundant number, since it is smaller than the sum of its proper divisors (800229264).

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

481670016 is a wasteful number, since it uses less digits than its factorization.

481670016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 481670016 is about 21946.9819337421. The cubic root of 481670016 is about 783.8805176795.

The spelling of 481670016 in words is "four hundred eighty-one million, six hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 757 1514 1657 2271 3028 3314 4542 4971 6056 6628 9084 9942 12112 13256 18168 19884 24224 26512 36336 39768 48448 53024 72672 79536 96896 106048 145344 159072 212096 290688 318144 636288 1254349 2508698 3763047 5017396 7526094 10034792 15052188 20069584 30104376 40139168 60208752 80278336 120417504 160556672 240835008 481670016