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50129352 = 233272131093
BaseRepresentation
bin1011111100111…
…0100111001000
310111022211112200
42333032213020
5100313114402
64550240200
71146043500
oct277164710
9114284480
1050129352
1126329a19
1214956060
13a502250
14692ca00
15460321c
hex2fce9c8

50129352 has 144 divisors (see below), whose sum is σ = 170237340. Its totient is φ = 13208832.

The previous prime is 50129341. The next prime is 50129363. The reversal of 50129352 is 25392105.

It is an interprime number because it is at equal distance from previous prime (50129341) and next prime (50129363).

It can be written as a sum of positive squares in 2 ways, for example, as 49196196 + 933156 = 7014^2 + 966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45318 + ... + 46410.

Almost surely, 250129352 is an apocalyptic number.

50129352 is a gapful number since it is divisible by the number (52) 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 50129352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85118670).

50129352 is an abundant number, since it is smaller than the sum of its proper divisors (120107988).

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

50129352 is a wasteful number, since it uses less digits than its factorization.

50129352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 50129352 is about 7080.2084715070. The cubic root of 50129352 is about 368.7205675254.

The spelling of 50129352 in words is "fifty million, one hundred twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1093 1176 1274 1638 1764 1911 2184 2186 2548 3276 3279 3528 3822 4372 5096 5733 6552 6558 7644 7651 8744 9837 11466 13116 14209 15288 15302 19674 22932 22953 26232 28418 30604 39348 42627 45864 45906 53557 56836 61208 68859 78696 85254 91812 99463 107114 113672 127881 137718 160671 170508 183624 198926 214228 255762 275436 298389 321342 341016 397852 428456 482013 511524 550872 596778 642684 696241 795704 895167 964026 1023048 1193556 1285368 1392482 1790334 1928052 2088723 2387112 2784964 3580668 3856104 4177446 5569928 6266169 7161336 8354892 12532338 16709784 25064676 50129352