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52144956 = 22322371887
BaseRepresentation
bin1100011011101…
…0101100111100
310122010020102200
43012322230330
5101322114311
65101351500
71202140053
oct306725474
9118106380
1052144956
1127486306
1215568590
13aa59806
146cd539a
1548a0556
hex31bab3c

52144956 has 72 divisors (see below), whose sum is σ = 139636224. Its totient is φ = 16373280.

The previous prime is 52144931. The next prime is 52144957. The reversal of 52144956 is 65944125.

52144956 is a `hidden beast` number, since 521 + 44 + 95 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52144956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52144957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58345 + ... + 59231.

It is an arithmetic number, because the mean of its divisors is an integer number (1939392).

Almost surely, 252144956 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 52144956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69818112).

52144956 is an abundant number, since it is smaller than the sum of its proper divisors (87491268).

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

52144956 is a wasteful number, since it uses less digits than its factorization.

52144956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 986 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52144956 is about 7221.1464463754. The cubic root of 52144956 is about 373.5976207574.

The spelling of 52144956 in words is "fifty-two million, one hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 639 828 852 887 1278 1633 1774 2556 2661 3266 3548 4899 5322 6532 7983 9798 10644 14697 15966 19596 20401 29394 31932 40802 58788 61203 62977 81604 122406 125954 183609 188931 244812 251908 367218 377862 566793 734436 755724 1133586 1448471 2267172 2896942 4345413 5793884 8690826 13036239 17381652 26072478 52144956