Search a number
-
+
70429152 = 253838839
BaseRepresentation
bin1000011001010…
…10100111100000
311220112011122010
410030222213200
5121012213102
610553312520
71513431543
oct414524740
9156464563
1070429152
1136834512
121b705740
131178bc71
1494d485a
1562b2d6c
hex432a9e0

70429152 has 48 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 23190912.

The previous prime is 70429133. The next prime is 70429157. The reversal of 70429152 is 25192407.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70429157) 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, 3549 + ... + 12387.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 270429152 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 70429152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

70429152 is an abundant number, since it is smaller than the sum of its proper divisors (116695968).

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

70429152 is a wasteful number, since it uses less digits than its factorization.

70429152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 70429152 is about 8392.2078143954. The cubic root of 70429152 is about 412.9690326923.

The spelling of 70429152 in words is "seventy million, four hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 8839 17678 26517 35356 53034 70712 106068 141424 212136 282848 424272 733637 848544 1467274 2200911 2934548 4401822 5869096 8803644 11738192 17607288 23476384 35214576 70429152