Search a number
-
+
88238472 = 23374331213
BaseRepresentation
bin1010100001001…
…10100110001000
320011000222102120
411100212212020
5140042112342
612431131240
72121005010
oct520464610
9204028376
1088238472
1145898963
1225673b20
131538621a
14ba0cc40
157b2eaec
hex5426988

88238472 has 64 divisors (see below), whose sum is σ = 252900480. Its totient is φ = 25132032.

The previous prime is 88238461. The next prime is 88238473. The reversal of 88238472 is 27483288.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (88238473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72138 + ... + 73350.

It is an arithmetic number, because the mean of its divisors is an integer number (3951570).

Almost surely, 288238472 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 88238472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126450240).

88238472 is an abundant number, since it is smaller than the sum of its proper divisors (164662008).

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

88238472 is a wasteful number, since it uses less digits than its factorization.

88238472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1658 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 88238472 is about 9393.5335204597. The cubic root of 88238472 is about 445.1974413162.

It can be divided in two parts, 882384 and 72, that added together give a triangular number (882456 = T1328).

The spelling of 88238472 in words is "eighty-eight million, two hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 433 866 1213 1299 1732 2426 2598 3031 3464 3639 4852 5196 6062 7278 8491 9093 9704 10392 12124 14556 16982 18186 24248 25473 29112 33964 36372 50946 67928 72744 101892 203784 525229 1050458 1575687 2100916 3151374 3676603 4201832 6302748 7353206 11029809 12605496 14706412 22059618 29412824 44119236 88238472