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114352452 = 22332921259
BaseRepresentation
bin1101101000011…
…10000101000100
321222011201002000
412310032011010
5213233234302
615202545300
72555660034
oct664160504
9258151060
10114352452
1159604765
1232368230
131a8ca496
14112898c4
15a08c31c
hex6d0e144

114352452 has 72 divisors (see below), whose sum is σ = 307288800. Its totient is φ = 36773856.

The previous prime is 114352409. The next prime is 114352463. The reversal of 114352452 is 254253411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90199 + ... + 91457.

It is an arithmetic number, because the mean of its divisors is an integer number (4267900).

Almost surely, 2114352452 is an apocalyptic number.

114352452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114352452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153644400).

114352452 is an abundant number, since it is smaller than the sum of its proper divisors (192936348).

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

114352452 is a wasteful number, since it uses less digits than its factorization.

114352452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1293 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 114352452 is about 10693.5705917154. The cubic root of 114352452 is about 485.3799438909.

The spelling of 114352452 in words is "one hundred fourteen million, three hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1259 1566 1682 2518 2523 3132 3364 3777 5036 5046 7554 7569 10092 11331 15108 15138 22662 22707 30276 33993 36511 45324 45414 67986 73022 90828 109533 135972 146044 219066 328599 438132 657198 985797 1058819 1314396 1971594 2117638 3176457 3943188 4235276 6352914 9529371 12705828 19058742 28588113 38117484 57176226 114352452