Search a number
-
+
14479542 = 23271131337
BaseRepresentation
bin110111001111…
…000010110110
31000020122012100
4313033002312
512201321132
61234202530
7234034260
oct67170266
930218170
1014479542
11819a770
124a23446
132ccc79c
141cccb30
15141037c
hexdcf0b6

14479542 has 96 divisors (see below), whose sum is σ = 40495104. Its totient is φ = 3628800.

The previous prime is 14479513. The next prime is 14479567. The reversal of 14479542 is 24597441.

It is a happy number.

14479542 is a `hidden beast` number, since 1 + 44 + 79 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14479497 and 14479506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42798 + ... + 43134.

It is an arithmetic number, because the mean of its divisors is an integer number (421824).

Almost surely, 214479542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14479542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247552).

14479542 is an abundant number, since it is smaller than the sum of its proper divisors (26015562).

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

14479542 is a wasteful number, since it uses less digits than its factorization.

14479542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14479542 is about 3805.1993377483. The cubic root of 14479542 is about 243.7352117261.

The spelling of 14479542 in words is "fourteen million, four hundred seventy-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 337 341 434 462 558 651 674 682 693 1011 1023 1302 1386 1953 2022 2046 2359 2387 3033 3069 3707 3906 4718 4774 6066 6138 7077 7161 7414 10447 11121 14154 14322 20894 21231 21483 22242 25949 31341 33363 42462 42966 51898 62682 66726 73129 77847 94023 114917 146258 155694 188046 219387 229834 233541 344751 438774 467082 658161 689502 804419 1034253 1316322 1608838 2068506 2413257 4826514 7239771 14479542