Search a number
-
+
88402068 = 223241101593
BaseRepresentation
bin1010100010011…
…10100010010100
320011100021211200
411101032202110
5140112331233
612434432500
72122255656
oct521164224
9204307750
1088402068
114599a867
1225732730
1315412821
14ba526d6
157b63313
hex544e894

88402068 has 72 divisors (see below), whose sum is σ = 231567336. Its totient is φ = 28416000.

The previous prime is 88402043. The next prime is 88402081. The reversal of 88402068 is 86020488.

It can be written as a sum of positive squares in 4 ways, for example, as 17539344 + 70862724 = 4188^2 + 8418^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148780 + ... + 149372.

It is an arithmetic number, because the mean of its divisors is an integer number (3216213).

Almost surely, 288402068 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 88402068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115783668).

88402068 is an abundant number, since it is smaller than the sum of its proper divisors (143165268).

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

88402068 is a wasteful number, since it uses less digits than its factorization.

88402068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88402068 is about 9402.2373933017. The cubic root of 88402068 is about 445.4724066242.

The spelling of 88402068 in words is "eighty-eight million, four hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 101 123 164 202 246 303 369 404 492 593 606 738 909 1186 1212 1476 1779 1818 2372 3558 3636 4141 5337 7116 8282 10674 12423 16564 21348 24313 24846 37269 48626 49692 59893 72939 74538 97252 119786 145878 149076 179679 218817 239572 291756 359358 437634 539037 718716 875268 1078074 2156148 2455613 4911226 7366839 9822452 14733678 22100517 29467356 44201034 88402068