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50972652 = 22352292
BaseRepresentation
bin1100001001110…
…0011111101100
310112220200100000
43002130133230
5101022111102
65020304300
71156155213
oct302343754
9115820300
1050972652
1126855565
12150a2090
13a739043
146aac07a
15471d01c
hex309c7ec

50972652 has 54 divisors (see below), whose sum is σ = 134205708. Its totient is φ = 16916688.

The previous prime is 50972639. The next prime is 50972653. The reversal of 50972652 is 25627905.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×509726522 = 5196422503826208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (50972653) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222474 + ... + 222702.

Almost surely, 250972652 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 50972652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67102854).

50972652 is an abundant number, since it is smaller than the sum of its proper divisors (83233056).

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

50972652 is an equidigital number, since it uses as much as digits as its factorization.

50972652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 50972652 is about 7139.5134287989. The cubic root of 50972652 is about 370.7766787105.

The spelling of 50972652 in words is "fifty million, nine hundred seventy-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 243 324 458 486 687 916 972 1374 2061 2748 4122 6183 8244 12366 18549 24732 37098 52441 55647 74196 104882 111294 157323 209764 222588 314646 471969 629292 943938 1415907 1887876 2831814 4247721 5663628 8495442 12743163 16990884 25486326 50972652