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88329540 = 223513231281
BaseRepresentation
bin1010100001111…
…00110101000100
320011012121100110
411100330311010
5140103021130
612433113020
72121534345
oct520746504
9204177313
1088329540
1145950322
12256b8770
13153b8800
14ba340cc
157b4bab0
hex543cd44

88329540 has 144 divisors (see below), whose sum is σ = 277433856. Its totient is φ = 20966400.

The previous prime is 88329529. The next prime is 88329583. The reversal of 88329540 is 4592388.

It is a happy number.

It is a super-2 number, since 2×883295402 = 15604215273223200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314200 + ... + 314480.

It is an arithmetic number, because the mean of its divisors is an integer number (1926624).

Almost surely, 288329540 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 88329540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138716928).

88329540 is an abundant number, since it is smaller than the sum of its proper divisors (189104316).

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

88329540 is a wasteful number, since it uses less digits than its factorization.

88329540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 88329540 is about 9398.3796475776. The cubic root of 88329540 is about 445.3505464938.

The spelling of 88329540 in words is "eighty-eight million, three hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 281 310 338 372 390 403 465 507 562 620 676 780 806 843 845 930 1014 1124 1209 1405 1612 1686 1690 1860 2015 2028 2418 2535 2810 3372 3380 3653 4030 4215 4836 5070 5239 5620 6045 7306 8060 8430 8711 10140 10478 10959 12090 14612 15717 16860 17422 18265 20956 21918 24180 26133 26195 31434 34844 36530 43555 43836 47489 52266 52390 54795 62868 73060 78585 87110 94978 104532 104780 109590 113243 130665 142467 157170 174220 189956 219180 226486 237445 261330 284934 314340 339729 452972 474890 522660 566215 569868 679458 712335 949780 1132430 1358916 1424670 1472159 1698645 2264860 2849340 2944318 3397290 4416477 5888636 6794580 7360795 8832954 14721590 17665908 22082385 29443180 44164770 88329540