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88246272 = 211353271
BaseRepresentation
bin1010100001010…
…00100000000000
320011001101010110
411100220200000
5140042340042
612431231320
72121036522
oct520504000
9204041113
1088246272
11458a3804
1225678540
131538993a
14ba11a12
157b3209c
hex5428800

88246272 has 96 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 28753920.

The previous prime is 88246261. The next prime is 88246289. The reversal of 88246272 is 27264288.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 88246272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325497 + ... + 325767.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 288246272 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 88246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

88246272 is an abundant number, since it is smaller than the sum of its proper divisors (152343168).

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

88246272 is a wasteful number, since it uses less digits than its factorization.

88246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 88246272 is about 9393.9486905135. The cubic root of 88246272 is about 445.2105589418.

The spelling of 88246272 in words is "eighty-eight million, two hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 271 318 384 424 512 542 636 768 813 848 1024 1084 1272 1536 1626 1696 2048 2168 2544 3072 3252 3392 4336 5088 6144 6504 6784 8672 10176 13008 13568 14363 17344 20352 26016 27136 28726 34688 40704 43089 52032 54272 57452 69376 81408 86178 104064 108544 114904 138752 162816 172356 208128 229808 277504 325632 344712 416256 459616 555008 689424 832512 919232 1378848 1665024 1838464 2757696 3676928 5515392 7353856 11030784 14707712 22061568 29415424 44123136 88246272