Search a number
-
+
29098368 = 2732132967
BaseRepresentation
bin110111100000…
…0000110000000
32000202100110100
41233000012000
524422121433
62515402400
7502221615
oct157000600
960670410
1029098368
1115475042
1298b3400
13604a790
143c1650c
15284bb13
hex1bc0180

29098368 has 192 divisors, whose sum is σ = 94676400. Its totient is φ = 8515584.

The previous prime is 29098361. The next prime is 29098409. The reversal of 29098368 is 86389092.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29098361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434271 + ... + 434337.

Almost surely, 229098368 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 29098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47338200).

29098368 is an abundant number, since it is smaller than the sum of its proper divisors (65578032).

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

29098368 is a wasteful number, since it uses less digits than its factorization.

29098368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 29098368 is about 5394.2903147680. The cubic root of 29098368 is about 307.5786671623.

The spelling of 29098368 in words is "twenty-nine million, ninety-eight thousand, three hundred sixty-eight".