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252051216 = 2438596113
BaseRepresentation
bin11110000010111…
…11111100010000
3122120021112021020
433001133330100
51004011114331
641002155440
76150254124
oct1701377420
9576245236
10252051216
1111a30489a
12704b2b80
13402b0241
1425691584
15171dbc96
hexf05ff10

252051216 has 40 divisors (see below), whose sum is σ = 651996960. Its totient is φ = 83905536.

The previous prime is 252051203. The next prime is 252051259. The reversal of 252051216 is 612150252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38176 + ... + 44288.

It is an arithmetic number, because the mean of its divisors is an integer number (16299924).

Almost surely, 2252051216 is an apocalyptic number.

It is an amenable number.

252051216 is an abundant number, since it is smaller than the sum of its proper divisors (399945744).

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

252051216 is a wasteful number, since it uses less digits than its factorization.

252051216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 252051216 is about 15876.1209368032. The cubic root of 252051216 is about 631.6787476968.

The spelling of 252051216 in words is "two hundred fifty-two million, fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 859 1718 2577 3436 5154 6113 6872 10308 12226 13744 18339 20616 24452 36678 41232 48904 73356 97808 146712 293424 5251067 10502134 15753201 21004268 31506402 42008536 63012804 84017072 126025608 252051216