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13474464 = 253971447
BaseRepresentation
bin110011011001…
…101010100000
3221100120111020
4303121222200
511422140324
61200445440
7222350103
oct63315240
927316436
1013474464
117673623
124619880
132a3a173
141b0a73a
1512b2679
hexcd9aa0

13474464 has 48 divisors (see below), whose sum is σ = 35759808. Its totient is φ = 4442112.

The previous prime is 13474463. The next prime is 13474501. The reversal of 13474464 is 46447431.

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

It is a super-2 number, since 2×134744642 = 363122360174592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13474463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8589 + ... + 10035.

It is an arithmetic number, because the mean of its divisors is an integer number (744996).

Almost surely, 213474464 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 13474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879904).

13474464 is an abundant number, since it is smaller than the sum of its proper divisors (22285344).

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

13474464 is a wasteful number, since it uses less digits than its factorization.

13474464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1549 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 13474464 is about 3670.7579598770. The cubic root of 13474464 is about 237.9599301701.

The spelling of 13474464 in words is "thirteen million, four hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1447 1552 2328 2894 3104 4341 4656 5788 8682 9312 11576 17364 23152 34728 46304 69456 138912 140359 280718 421077 561436 842154 1122872 1684308 2245744 3368616 4491488 6737232 13474464