Search a number
-
+
88196352 = 283234993
BaseRepresentation
bin1010100000111…
…00010100000000
320010221211122120
411100130110000
5140034240402
612430204240
72120441136
oct520342400
9203854576
1088196352
114586a252
1225653680
131536ccba
14b9db756
157b223bc
hex541c500

88196352 has 72 divisors (see below), whose sum is σ = 244985664. Its totient is φ = 28114944.

The previous prime is 88196291. The next prime is 88196359. The reversal of 88196352 is 25369188.

It is a super-2 number, since 2×881963522 = 15557193012215808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88196359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15168 + ... + 20160.

Almost surely, 288196352 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 88196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492832).

88196352 is an abundant number, since it is smaller than the sum of its proper divisors (156789312).

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

88196352 is a wasteful number, since it uses less digits than its factorization.

88196352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5021 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 88196352 is about 9391.2912850151. The cubic root of 88196352 is about 445.1265927764.

The spelling of 88196352 in words is "eighty-eight million, one hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 4993 5888 8832 9986 14979 17664 19972 29958 39944 59916 79888 114839 119832 159776 229678 239664 319552 344517 459356 479328 639104 689034 918712 958656 1278208 1378068 1837424 1917312 2756136 3674848 3834624 5512272 7349696 11024544 14699392 22049088 29398784 44098176 88196352