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914366052 = 223237218553
BaseRepresentation
bin110110100000000…
…001111001100100
32100201112121102100
4312200001321210
53333034203202
6230422012100
731441661145
oct6640017144
92321477370
10914366052
1142a154826
12216277030
13117586602
1489619acc
155541841c
hex36801e64

914366052 has 54 divisors (see below), whose sum is σ = 2375598498. Its totient is φ = 296535168.

The previous prime is 914366021. The next prime is 914366071. The reversal of 914366052 is 250663419.

It is a happy number.

914366052 is a `hidden beast` number, since 9 + 1 + 43 + 6 + 605 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 279023616 + 635342436 = 16704^2 + 25206^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 914365998 and 914366016.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40008 + ... + 58560.

Almost surely, 2914366052 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 914366052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187799249).

914366052 is an abundant number, since it is smaller than the sum of its proper divisors (1461232446).

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

914366052 is a wasteful number, since it uses less digits than its factorization.

914366052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18637 (or 18595 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 914366052 is about 30238.4862716373. The cubic root of 914366052 is about 970.5994282709.

The spelling of 914366052 in words is "nine hundred fourteen million, three hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 18553 24642 37106 49284 55659 74212 111318 166977 222636 333954 667908 686461 1372922 2059383 2745844 4118766 6178149 8237532 12356298 24712596 25399057 50798114 76197171 101596228 152394342 228591513 304788684 457183026 914366052