Search a number
-
+
88472142 = 23311473169
BaseRepresentation
bin1010100010111…
…11101001001110
320011110211222000
411101133221032
5140122102032
612440133130
72123000163
oct521375116
9204424860
1088472142
1145a38480
12257671a6
13154386a5
14ba7006a
157b78e7c
hex545fa4e

88472142 has 64 divisors (see below), whose sum is σ = 219110400. Its totient is φ = 26231040.

The previous prime is 88472123. The next prime is 88472149. The reversal of 88472142 is 24127488.

It is a junction number, because it is equal to n+sod(n) for n = 88472097 and 88472106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88472149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26334 + ... + 29502.

It is an arithmetic number, because the mean of its divisors is an integer number (3423600).

Almost surely, 288472142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88472142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109555200).

88472142 is an abundant number, since it is smaller than the sum of its proper divisors (130638258).

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

88472142 is a wasteful number, since it uses less digits than its factorization.

88472142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 88472142 is about 9405.9631085817. The cubic root of 88472142 is about 445.5900803005.

The spelling of 88472142 in words is "eighty-eight million, four hundred seventy-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 3169 4653 6338 9306 9507 13959 19014 27918 28521 34859 57042 69718 85563 104577 148943 171126 209154 297886 313731 446829 627462 893658 941193 1340487 1638373 1882386 2680974 3276746 4021461 4915119 8042922 9830238 14745357 29490714 44236071 88472142