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88319296 = 26131937151
BaseRepresentation
bin1010100001110…
…10010101000000
320011012002022001
411100322111000
5140102204141
612432553344
72121462442
oct520722500
9204162261
1088319296
114594365a
12256b2854
13153b3c50
14ba30492
157b48a31
hex543a540

88319296 has 112 divisors (see below), whose sum is σ = 205394560. Its totient is φ = 37324800.

The previous prime is 88319293. The next prime is 88319299. The reversal of 88319296 is 69291388.

It is an interprime number because it is at equal distance from previous prime (88319293) and next prime (88319299).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88319293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584821 + ... + 584971.

It is an arithmetic number, because the mean of its divisors is an integer number (1833880).

Almost surely, 288319296 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 88319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102697280).

88319296 is an abundant number, since it is smaller than the sum of its proper divisors (117075264).

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

88319296 is a wasteful number, since it uses less digits than its factorization.

88319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 88319296 is about 9397.8346442146. The cubic root of 88319296 is about 445.3333293493. Note that the first 4 decimals are identical.

The spelling of 88319296 in words is "eighty-eight million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 64 74 76 104 148 151 152 208 247 296 302 304 416 481 494 592 604 608 703 832 962 988 1184 1208 1216 1406 1924 1963 1976 2368 2416 2812 2869 3848 3926 3952 4832 5587 5624 5738 7696 7852 7904 9139 9664 11174 11248 11476 15392 15704 15808 18278 22348 22496 22952 30784 31408 36556 37297 44696 44992 45904 62816 72631 73112 74594 89392 91808 106153 125632 145262 146224 149188 178784 183616 212306 290524 292448 298376 357568 424612 581048 584896 596752 849224 1162096 1193504 1379989 1698448 2324192 2387008 2759978 3396896 4648384 5519956 6793792 11039912 22079824 44159648 88319296