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50429952 = 2153419
BaseRepresentation
bin1100000001100…
…0000000000000
310111220002220000
43000120000000
5100402224302
65000520000
71151435046
oct300300000
9114802800
1050429952
1126514851
1214a80000
13a5a9011
1469aa396
15466231c
hex3018000

50429952 has 160 divisors (see below), whose sum is σ = 158594700. Its totient is φ = 15925248.

The previous prime is 50429947. The next prime is 50429957. The reversal of 50429952 is 25992405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50429947) and next prime (50429957).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50429957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654199 + ... + 2654217.

Almost surely, 250429952 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 50429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79297350).

50429952 is an abundant number, since it is smaller than the sum of its proper divisors (108164748).

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

50429952 is an frugal number, since it uses more digits than its factorization.

50429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 50429952 is about 7101.4049314203. The cubic root of 50429952 is about 369.4561086026.

The spelling of 50429952 in words is "fifty million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 256 288 304 324 342 384 432 456 512 513 576 608 648 684 768 864 912 1024 1026 1152 1216 1296 1368 1536 1539 1728 1824 2048 2052 2304 2432 2592 2736 3072 3078 3456 3648 4096 4104 4608 4864 5184 5472 6144 6156 6912 7296 8192 8208 9216 9728 10368 10944 12288 12312 13824 14592 16384 16416 18432 19456 20736 21888 24576 24624 27648 29184 32768 32832 36864 38912 41472 43776 49152 49248 55296 58368 65664 73728 77824 82944 87552 98304 98496 110592 116736 131328 147456 155648 165888 175104 196992 221184 233472 262656 294912 311296 331776 350208 393984 442368 466944 525312 622592 663552 700416 787968 884736 933888 1050624 1327104 1400832 1575936 1867776 2101248 2654208 2801664 3151872 4202496 5603328 6303744 8404992 12607488 16809984 25214976 50429952