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1385212752 = 24357211661
BaseRepresentation
bin101001010010000…
…1010101101010000
310120112112002200000
41102210022231100
510314103302002
6345241530000
746220054100
oct12244125520
93515462600
101385212752
11650a09930
12327aa3900
13190ca1c21
14d1d83200
158192361c
hex5290ab50

1385212752 has 360 divisors, whose sum is σ = 5109485472. Its totient is φ = 359251200.

The previous prime is 1385212747. The next prime is 1385212783. The reversal of 1385212752 is 2572125831.

1385212752 is a `hidden beast` number, since 1 + 385 + 2 + 1 + 275 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095302 + ... + 2095962.

Almost surely, 21385212752 is an apocalyptic number.

1385212752 is a gapful number since it is divisible by the number (12) 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 1385212752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554742736).

1385212752 is an abundant number, since it is smaller than the sum of its proper divisors (3724272720).

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

1385212752 is a wasteful number, since it uses less digits than its factorization.

1385212752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 684 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1385212752 is about 37218.4463942277. The cubic root of 1385212752 is about 1114.7363428423.

The spelling of 1385212752 in words is "one billion, three hundred eighty-five million, two hundred twelve thousand, seven hundred fifty-two".