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88879896 = 23337292027
BaseRepresentation
bin1010100110000…
…11001100011000
320012020120022000
411103003030120
5140223124041
612453001000
72126316030
oct523031430
9205216260
1088879896
1146196866
1225923160
131554c171
14bb388c0
157c09bb6
hex54c3318

88879896 has 128 divisors (see below), whose sum is σ = 292032000. Its totient is φ = 24506496.

The previous prime is 88879873. The next prime is 88879897. The reversal of 88879896 is 69897888.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (88879897) 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 31 ways as a sum of consecutive naturals, for example, 42835 + ... + 44861.

It is an arithmetic number, because the mean of its divisors is an integer number (2281500).

Almost surely, 288879896 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 88879896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016000).

88879896 is an abundant number, since it is smaller than the sum of its proper divisors (203152104).

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

88879896 is a wasteful number, since it uses less digits than its factorization.

88879896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2068 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The square root of 88879896 is about 9427.6134838038. The cubic root of 88879896 is about 446.2735825402.

The spelling of 88879896 in words is "eighty-eight million, eight hundred seventy-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2027 2088 2436 3132 3654 4054 4872 5481 6081 6264 7308 8108 10962 12162 14189 14616 16216 18243 21924 24324 28378 36486 42567 43848 48648 54729 56756 58783 72972 85134 109458 113512 117566 127701 145944 170268 176349 218916 235132 255402 340536 352698 383103 411481 437832 470264 510804 529047 705396 766206 822962 1021608 1058094 1234443 1410792 1532412 1587141 1645924 2116188 2468886 3064824 3174282 3291848 3703329 4232376 4937772 6348564 7406658 9875544 11109987 12697128 14813316 22219974 29626632 44439948 88879896