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88868016 = 243619401
BaseRepresentation
bin1010100110000…
…00010010110000
320012012222000000
411103000102300
5140222234031
612452430000
72126236266
oct523002260
9205188000
1088868016
1146188946
1225918300
1315546933
14bb34436
157c063e6
hex54c04b0

88868016 has 140 divisors (see below), whose sum is σ = 272419320. Its totient is φ = 27993600.

The previous prime is 88868011. The next prime is 88868029. The reversal of 88868016 is 61086888.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88868011) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221416 + ... + 221816.

Almost surely, 288868016 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 88868016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209660).

88868016 is an abundant number, since it is smaller than the sum of its proper divisors (183551304).

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

88868016 is a wasteful number, since it uses less digits than its factorization.

88868016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88868016 is about 9426.9833987337. The cubic root of 88868016 is about 446.2536981545.

The spelling of 88868016 in words is "eighty-eight million, eight hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 401 432 456 486 513 648 684 729 802 912 972 1026 1203 1296 1368 1458 1539 1604 1944 2052 2406 2736 2916 3078 3208 3609 3888 4104 4617 4812 5832 6156 6416 7218 7619 8208 9234 9624 10827 11664 12312 13851 14436 15238 18468 19248 21654 22857 24624 27702 28872 30476 32481 36936 43308 45714 55404 57744 60952 64962 68571 73872 86616 91428 97443 110808 121904 129924 137142 173232 182856 194886 205713 221616 259848 274284 292329 365712 389772 411426 519696 548568 584658 617139 779544 822852 1097136 1169316 1234278 1559088 1645704 1851417 2338632 2468556 3291408 3702834 4677264 4937112 5554251 7405668 9874224 11108502 14811336 22217004 29622672 44434008 88868016