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88074252 = 22327373937
BaseRepresentation
bin1010011111111…
…10100000001100
320010201122011100
411033332200030
5140021334002
612423423100
72116422150
oct517764014
9203648140
1088074252
1145796542
12255b4a90
1315329556
14b9a9060
157aeb11c
hex53fe80c

88074252 has 72 divisors (see below), whose sum is σ = 255391136. Its totient is φ = 25069824.

The previous prime is 88074251. The next prime is 88074257. The reversal of 88074252 is 25247088.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (88074251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93528 + ... + 94464.

Almost surely, 288074252 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 88074252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127695568).

88074252 is an abundant number, since it is smaller than the sum of its proper divisors (167316884).

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

88074252 is a wasteful number, since it uses less digits than its factorization.

88074252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 88074252 is about 9384.7883300584. The cubic root of 88074252 is about 444.9210851942.

The spelling of 88074252 in words is "eighty-eight million, seventy-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 373 746 937 1119 1492 1874 2238 2611 2811 3357 3748 4476 5222 5622 6559 6714 7833 8433 10444 11244 13118 13428 15666 16866 19677 23499 26236 31332 33732 39354 46998 59031 78708 93996 118062 236124 349501 699002 1048503 1398004 2097006 2446507 3145509 4194012 4893014 6291018 7339521 9786028 12582036 14679042 22018563 29358084 44037126 88074252