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116772352 = 291311741
BaseRepresentation
bin1101111010111…
…00111000000000
322010201122112221
412331130320000
5214343203402
615330500424
72615356114
oct675347000
9263648487
10116772352
115aa07884
1233134714
131b266a88
1411719744
15a3b9337
hex6f5ce00

116772352 has 40 divisors (see below), whose sum is σ = 235232712. Its totient is φ = 57907200.

The previous prime is 116772329. The next prime is 116772401. The reversal of 116772352 is 253277611.

It is a super-2 number, since 2×1167723522 = 27271564383223808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66202 + ... + 67942.

Almost surely, 2116772352 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 116772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117616356).

116772352 is an abundant number, since it is smaller than the sum of its proper divisors (118460360).

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

116772352 is an equidigital number, since it uses as much as digits as its factorization.

116772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1874 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 116772352 is about 10806.1256701928. The cubic root of 116772352 is about 488.7799049386.

The spelling of 116772352 in words is "one hundred sixteen million, seven hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1048 1741 2096 3482 4192 6964 8384 13928 16768 27856 33536 55712 67072 111424 222848 228071 445696 456142 891392 912284 1824568 3649136 7298272 14596544 29193088 58386176 116772352