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11864352 = 253831489
BaseRepresentation
bin101101010000…
…100100100000
3211022202211110
4231100210200
511014124402
61102143320
7202562643
oct55204440
924282743
1011864352
116773955
123b81b40
1325c5336
14180ba5a
15109556c
hexb50920

11864352 has 48 divisors (see below), whose sum is σ = 31540320. Its totient is φ = 3904512.

The previous prime is 11864327. The next prime is 11864371. The reversal of 11864352 is 25346811.

It is a tau number, because it is divible by the number of its divisors (48).

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, 7224 + ... + 8712.

It is an arithmetic number, because the mean of its divisors is an integer number (657090).

Almost surely, 211864352 is an apocalyptic number.

11864352 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 11864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770160).

11864352 is an abundant number, since it is smaller than the sum of its proper divisors (19675968).

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

11864352 is a wasteful number, since it uses less digits than its factorization.

11864352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 11864352 is about 3444.4668673105. The cubic root of 11864352 is about 228.0769207990.

The spelling of 11864352 in words is "eleven million, eight hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1489 1992 2656 2978 3984 4467 5956 7968 8934 11912 17868 23824 35736 47648 71472 123587 142944 247174 370761 494348 741522 988696 1483044 1977392 2966088 3954784 5932176 11864352