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629676396 = 2233171931777
BaseRepresentation
bin100101100010000…
…001100101101100
31121212211212122000
4211202001211230
52242144121041
6142252052300
721414106146
oct4542014554
91555755560
10629676396
112a3488218
12156a64090
13a05b94ab
145d8adc96
153a430bb6
hex2588196c

629676396 has 96 divisors (see below), whose sum is σ = 1738457280. Its totient is φ = 196411392.

The previous prime is 629676367. The next prime is 629676407. The reversal of 629676396 is 693676926.

It is a happy number.

629676396 is a `hidden beast` number, since 629 + 6 + 7 + 6 + 3 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353460 + ... + 355236.

It is an arithmetic number, because the mean of its divisors is an integer number (18108930).

Almost surely, 2629676396 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 629676396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869228640).

629676396 is an abundant number, since it is smaller than the sum of its proper divisors (1108780884).

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

629676396 is a wasteful number, since it uses less digits than its factorization.

629676396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 629676396 is about 25093.3536220251. The cubic root of 629676396 is about 857.1150835286.

The spelling of 629676396 in words is "six hundred twenty-nine million, six hundred seventy-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 193 204 306 386 459 579 612 772 918 1158 1737 1777 1836 2316 3281 3474 3554 5211 5331 6562 6948 7108 9843 10422 10662 13124 15993 19686 20844 21324 29529 30209 31986 39372 47979 59058 60418 63972 88587 90627 95958 118116 120836 177174 181254 191916 271881 342961 354348 362508 543762 685922 815643 1028883 1087524 1371844 1631286 2057766 3086649 3262572 4115532 5830337 6173298 9259947 11660674 12346596 17491011 18519894 23321348 34982022 37039788 52473033 69964044 104946066 157419099 209892132 314838198 629676396