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93275136 = 2103229349
BaseRepresentation
bin1011000111101…
…00010000000000
320111111212102200
411203310100000
5142334301021
613131113200
72211553113
oct543642000
9214455380
1093275136
1148718a99
12272a2800
131642a8b6
14c56057a
1582c7126
hex58f4400

93275136 has 132 divisors (see below), whose sum is σ = 279415500. Its totient is φ = 29933568.

The previous prime is 93275131. The next prime is 93275153. The reversal of 93275136 is 63157239.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 34292736 = 7680^2 + 5856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 93275136.

It is not an unprimeable number, because it can be changed into a prime (93275131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267090 + ... + 267438.

Almost surely, 293275136 is an apocalyptic number.

93275136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139707750).

93275136 is an abundant number, since it is smaller than the sum of its proper divisors (186140364).

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

93275136 is a wasteful number, since it uses less digits than its factorization.

93275136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 93275136 is about 9657.9053629656. The cubic root of 93275136 is about 453.5118405043.

The spelling of 93275136 in words is "ninety-three million, two hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 349 384 464 512 522 576 696 698 768 928 1024 1044 1047 1152 1392 1396 1536 1856 2088 2094 2304 2784 2792 3072 3141 3712 4176 4188 4608 5568 5584 6282 7424 8352 8376 9216 10121 11136 11168 12564 14848 16704 16752 20242 22272 22336 25128 29696 30363 33408 33504 40484 44544 44672 50256 60726 66816 67008 80968 89088 89344 91089 100512 121452 133632 134016 161936 178688 182178 201024 242904 267264 268032 323872 357376 364356 402048 485808 536064 647744 728712 804096 971616 1072128 1295488 1457424 1608192 1943232 2590976 2914848 3216384 3886464 5181952 5829696 7772928 10363904 11659392 15545856 23318784 31091712 46637568 93275136