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629131392 = 27327392
BaseRepresentation
bin100101011111111…
…100100010000000
31121211211012000200
4211133330202000
52242024201032
6142232245200
721406346211
oct4537744200
91554735020
10629131392
112a31457aa
12156840800
13a04583c6
145d7ab408
153a37447c
hex257fc880

629131392 has 72 divisors (see below), whose sum is σ = 1812844215. Its totient is φ = 209426688.

The previous prime is 629131381. The next prime is 629131403. The reversal of 629131392 is 293131926.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

629131392 is a `hidden beast` number, since 629 + 13 + 13 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (629131381) and next prime (629131403).

It can be written as a sum of positive squares in only one way, i.e., 314565696 + 314565696 = 17736^2 + 17736^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17736.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 850959 + ... + 851697.

Almost surely, 2629131392 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 629131392

629131392 is an abundant number, since it is smaller than the sum of its proper divisors (1183712823).

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

629131392 is an frugal number, since it uses more digits than its factorization.

629131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 744 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 629131392 is about 25082.4917422492. The cubic root of 629131392 is about 856.8677257912.

The spelling of 629131392 in words is "six hundred twenty-nine million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 739 1152 1478 2217 2956 4434 5912 6651 8868 11824 13302 17736 23648 26604 35472 47296 53208 70944 94592 106416 141888 212832 283776 425664 546121 851328 1092242 1638363 2184484 3276726 4368968 4915089 6553452 8737936 9830178 13106904 17475872 19660356 26213808 34951744 39320712 52427616 69903488 78641424 104855232 157282848 209710464 314565696 629131392