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629425020 = 223577432017
BaseRepresentation
bin100101100001000…
…100001101111100
31121212101002210210
4211201010031330
52242113100040
6142242432420
721412011240
oct4541041574
91555332723
10629425020
112a3326374
12156962710
13a052bc53
145d846420
153a3d1480
hex2584437c

629425020 has 96 divisors (see below), whose sum is σ = 2017870848. Its totient is φ = 143603712.

The previous prime is 629425009. The next prime is 629425037. The reversal of 629425020 is 20524926.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311052 + ... + 313068.

It is an arithmetic number, because the mean of its divisors is an integer number (21019488).

Almost surely, 2629425020 is an apocalyptic number.

629425020 is a gapful number since it is divisible by the number (60) 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 629425020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008935424).

629425020 is an abundant number, since it is smaller than the sum of its proper divisors (1388445828).

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

629425020 is a wasteful number, since it uses less digits than its factorization.

629425020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 629425020 is about 25088.3443056731. The cubic root of 629425020 is about 857.0010107338.

Adding to 629425020 its reverse (20524926), we get a palindrome (649949946).

The spelling of 629425020 in words is "six hundred twenty-nine million, four hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 743 1486 2017 2229 2972 3715 4034 4458 5201 6051 7430 8068 8916 10085 10402 11145 12102 14119 14860 15603 20170 20804 22290 24204 26005 28238 30255 31206 40340 42357 44580 52010 56476 60510 62412 70595 78015 84714 104020 121020 141190 156030 169428 211785 282380 312060 423570 847140 1498631 2997262 4495893 5994524 7493155 8991786 10490417 14986310 17983572 20980834 22479465 29972620 31471251 41961668 44958930 52452085 62942502 89917860 104904170 125885004 157356255 209808340 314712510 629425020