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88378248 = 2337796659
BaseRepresentation
bin1010100010010…
…00101110001000
320011022002011110
411101020232020
5140111100443
612434130320
72122126350
oct521105610
9204262143
1088378248
1145983982
12257209a0
1315404a2a
14ba47b60
157b5b233
hex5448b88

88378248 has 64 divisors (see below), whose sum is σ = 255744000. Its totient is φ = 24927552.

The previous prime is 88378229. The next prime is 88378267. The reversal of 88378248 is 84287388.

It is an interprime number because it is at equal distance from previous prime (88378229) and next prime (88378267).

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

It is a junction number, because it is equal to n+sod(n) for n = 88378197 and 88378206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9943 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (3996000).

Almost surely, 288378248 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 88378248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127872000).

88378248 is an abundant number, since it is smaller than the sum of its proper divisors (167365752).

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

88378248 is a wasteful number, since it uses less digits than its factorization.

88378248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6750 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 88378248 is about 9400.9705881893. The cubic root of 88378248 is about 445.4323920779.

The spelling of 88378248 in words is "eighty-eight million, three hundred seventy-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 6659 13272 13318 19977 26636 39954 46613 53272 79908 93226 139839 159816 186452 279678 372904 526061 559356 1052122 1118712 1578183 2104244 3156366 3682427 4208488 6312732 7364854 11047281 12625464 14729708 22094562 29459416 44189124 88378248