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500629428 = 2232131278423
BaseRepresentation
bin11101110101101…
…111111110110100
31021220000121110200
4131311233332310
52011130120203
6121402120500
715256165005
oct3565577664
91256017420
10500629428
11237657332
1211b7b0130
137c945740
144a6bb1ac
152de3e9a3
hex1dd6ffb4

500629428 has 72 divisors (see below), whose sum is σ = 1373718528. Its totient is φ = 152808768.

The previous prime is 500629403. The next prime is 500629439. The reversal of 500629428 is 824926005.

It is a happy number.

500629428 is a `hidden beast` number, since 5 + 0 + 0 + 629 + 4 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 500629392 and 500629401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55225 + ... + 63647.

It is an arithmetic number, because the mean of its divisors is an integer number (19079424).

Almost surely, 2500629428 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 500629428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686859264).

500629428 is an abundant number, since it is smaller than the sum of its proper divisors (873089100).

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

500629428 is a wasteful number, since it uses less digits than its factorization.

500629428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 500629428 is about 22374.7497863105. The cubic root of 500629428 is about 794.0334378836.

The spelling of 500629428 in words is "five hundred million, six hundred twenty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 2286 3302 4572 4953 6604 8423 9906 14859 16846 19812 25269 29718 33692 50538 59436 75807 101076 109499 151614 218998 303228 328497 437996 656994 985491 1069721 1313988 1970982 2139442 3209163 3941964 4278884 6418326 9627489 12836652 13906373 19254978 27812746 38509956 41719119 55625492 83438238 125157357 166876476 250314714 500629428