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88325328 = 24371373277
BaseRepresentation
bin1010100001110…
…11110011010000
320011012101120110
411100323303100
5140102402303
612433041320
72121516150
oct520736320
9204171513
1088325328
1145948143
12256b6240
13153b6910
14ba32760
157b4a703
hex543bcd0

88325328 has 160 divisors (see below), whose sum is σ = 285703936. Its totient is φ = 22892544.

The previous prime is 88325317. The next prime is 88325339. The reversal of 88325328 is 82352388.

It is an interprime number because it is at equal distance from previous prime (88325317) and next prime (88325339).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318726 + ... + 319002.

Almost surely, 288325328 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 88325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142851968).

88325328 is an abundant number, since it is smaller than the sum of its proper divisors (197378608).

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

88325328 is a wasteful number, since it uses less digits than its factorization.

88325328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 88325328 is about 9398.1555637263. The cubic root of 88325328 is about 445.3434675245.

The spelling of 88325328 in words is "eighty-eight million, three hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 91 104 112 146 156 168 182 208 219 273 277 292 312 336 364 438 511 546 554 584 624 728 831 876 949 1022 1092 1108 1168 1456 1533 1662 1752 1898 1939 2044 2184 2216 2847 3066 3324 3504 3601 3796 3878 4088 4368 4432 5694 5817 6132 6643 6648 7202 7592 7756 8176 10803 11388 11634 12264 13286 13296 14404 15184 15512 19929 20221 21606 22776 23268 24528 25207 26572 28808 31024 39858 40442 43212 45552 46536 50414 53144 57616 60663 75621 79716 80884 86424 93072 100828 106288 121326 141547 151242 159432 161768 172848 201656 242652 262873 283094 302484 318864 323536 403312 424641 485304 525746 566188 604968 788619 849282 970608 1051492 1132376 1209936 1577238 1698564 1840111 2102984 2264752 3154476 3397128 3680222 4205968 5520333 6308952 6794256 7360444 11040666 12617904 14720888 22081332 29441776 44162664 88325328