[go: up one dir, main page]

Search a number
-
+
88153940 = 22572233911
BaseRepresentation
bin1010100000100…
…01111101010100
320010212200110202
411100101331110
5140031411230
612425240032
72120203400
oct520217524
9203780422
1088153940
11458403a6
1225633018
13153568c4
14b9ca100
157b14a45
hex5411f54

88153940 has 72 divisors (see below), whose sum is σ = 224767872. Its totient is φ = 28902720.

The previous prime is 88153931. The next prime is 88153957. The reversal of 88153940 is 4935188.

It is a super-2 number, since 2×881539402 = 15542234275047200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88153894 and 88153903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20585 + ... + 24495.

It is an arithmetic number, because the mean of its divisors is an integer number (3121776).

Almost surely, 288153940 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 88153940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112383936).

88153940 is an abundant number, since it is smaller than the sum of its proper divisors (136613932).

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

88153940 is a wasteful number, since it uses less digits than its factorization.

88153940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 88153940 is about 9389.0329640491. The cubic root of 88153940 is about 445.0552302783.

The spelling of 88153940 in words is "eighty-eight million, one hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 3911 4508 5635 7822 11270 15644 19555 22540 27377 39110 54754 78220 89953 109508 136885 179906 191639 273770 359812 383278 449765 547540 629671 766556 899530 958195 1259342 1799060 1916390 2518684 3148355 3832780 4407697 6296710 8815394 12593420 17630788 22038485 44076970 88153940