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252308476 = 227372391019
BaseRepresentation
bin11110000100111…
…10101111111100
3122120202121011101
433002132233330
51004042332401
641011502444
76152405140
oct1702365774
9576677141
10252308476
1111a470102
12705b7a24
1340370374
142571b220
151723d101
hexf09ebfc

252308476 has 48 divisors (see below), whose sum is σ = 520934400. Its totient is φ = 104666688.

The previous prime is 252308471. The next prime is 252308479. The reversal of 252308476 is 674803252.

It is a super-2 number, since 2×2523084762 = 127319134122885152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252308471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247095 + ... + 248113.

It is an arithmetic number, because the mean of its divisors is an integer number (10852800).

Almost surely, 2252308476 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 252308476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

252308476 is an abundant number, since it is smaller than the sum of its proper divisors (268625924).

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

252308476 is a wasteful number, since it uses less digits than its factorization.

252308476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 252308476 is about 15884.2209755468. The cubic root of 252308476 is about 631.8935855389.

The spelling of 252308476 in words is "two hundred fifty-two million, three hundred eight thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 37 74 148 239 259 478 518 956 1019 1036 1673 2038 3346 4076 6692 7133 8843 14266 17686 28532 35372 37703 61901 75406 123802 150812 243541 247604 263921 487082 527842 974164 1055684 1704787 3409574 6819148 9011017 18022034 36044068 63077119 126154238 252308476