Search a number
-
+
29493432 = 23324197103
BaseRepresentation
bin111000010000…
…0100010111000
32001111102101100
41300200202320
530022242212
62532051400
7505455453
oct160404270
961442340
1029493432
1115714941
129a63b60
136158547
143cba49a
1528c8bdc
hex1c208b8

29493432 has 96 divisors (see below), whose sum is σ = 83472480. Its totient is φ = 9400320.

The previous prime is 29493427. The next prime is 29493449. The reversal of 29493432 is 23439492.

It is a super-2 number, since 2×294934322 = 1739725062277248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286293 + ... + 286395.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 229493432 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 29493432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41736240).

29493432 is an abundant number, since it is smaller than the sum of its proper divisors (53979048).

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

29493432 is a wasteful number, since it uses less digits than its factorization.

29493432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 29493432 is about 5430.7855785328. The cubic root of 29493432 is about 308.9643971925.

The spelling of 29493432 in words is "twenty-nine million, four hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 97 103 123 164 194 206 246 291 309 328 369 388 412 492 582 618 738 776 824 873 927 984 1164 1236 1476 1746 1854 2328 2472 2952 3492 3708 3977 4223 6984 7416 7954 8446 9991 11931 12669 15908 16892 19982 23862 25338 29973 31816 33784 35793 38007 39964 47724 50676 59946 71586 76014 79928 89919 95448 101352 119892 143172 152028 179838 239784 286344 304056 359676 409631 719352 819262 1228893 1638524 2457786 3277048 3686679 4915572 7373358 9831144 14746716 29493432