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13388484 = 22323179271
BaseRepresentation
bin110011000100…
…101011000100
3221012012112210
4303010223010
511411412414
61154543420
7221541324
oct63045304
927165483
1013388484
117614a6a
124597b70
132a09ca5
141ac7284
151296e59
hexcc4ac4

13388484 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4229280.

The previous prime is 13388471. The next prime is 13388491. The reversal of 13388484 is 48488331.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49269 + ... + 49539.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 213388484 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 13388484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13388484 is an abundant number, since it is smaller than the sum of its proper divisors (19512636).

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

13388484 is a wasteful number, since it uses less digits than its factorization.

13388484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 13388484 is about 3659.0277397145. The cubic root of 13388484 is about 237.4527122843.

The spelling of 13388484 in words is "thirteen million, three hundred eighty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 179 271 276 358 537 542 716 813 1074 1084 1626 2148 3252 4117 6233 8234 12351 12466 16468 18699 24702 24932 37398 48509 49404 74796 97018 145527 194036 291054 582108 1115707 2231414 3347121 4462828 6694242 13388484