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88389216 = 25321929557
BaseRepresentation
bin1010100010010…
…11011001100000
320011022122012200
411101023121200
5140111423331
612434253200
72122203336
oct521133140
9204278180
1088389216
1145991143
1225727200
1315409a16
14ba4bb56
157b5e5e6
hex544b660

88389216 has 144 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 26901504.

The previous prime is 88389211. The next prime is 88389221. The reversal of 88389216 is 61298388.

It is an interprime number because it is at equal distance from previous prime (88389211) and next prime (88389221).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88389211) by changing a digit.

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, 158410 + ... + 158966.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 288389216 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 88389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

88389216 is an abundant number, since it is smaller than the sum of its proper divisors (185811984).

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

88389216 is a wasteful number, since it uses less digits than its factorization.

88389216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 88389216 is about 9401.5539141144. The cubic root of 88389216 is about 445.4508178048.

The spelling of 88389216 in words is "eighty-eight million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 144 152 171 174 228 232 261 288 304 342 348 456 464 522 551 557 608 684 696 912 928 1044 1102 1114 1368 1392 1653 1671 1824 2088 2204 2228 2736 2784 3306 3342 4176 4408 4456 4959 5013 5472 6612 6684 8352 8816 8912 9918 10026 10583 13224 13368 16153 17632 17824 19836 20052 21166 26448 26736 31749 32306 39672 40104 42332 48459 52896 53472 63498 64612 79344 80208 84664 95247 96918 126996 129224 145377 158688 160416 169328 190494 193836 253992 258448 290754 306907 338656 380988 387672 507984 516896 581508 613814 761976 775344 920721 1015968 1163016 1227628 1523952 1550688 1841442 2326032 2455256 2762163 3047904 3682884 4652064 4910512 5524326 7365768 9821024 11048652 14731536 22097304 29463072 44194608 88389216