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88400048 = 24111014973
BaseRepresentation
bin1010100010011…
…10000010110000
320011100012001212
411101032002300
5140112300143
612434415252
72122250042
oct521160260
9204305055
1088400048
11459992a0
1225731528
1315411929
14ba51a92
157b62918
hex544e0b0

88400048 has 40 divisors (see below), whose sum is σ = 188733456. Its totient is φ = 39776000.

The previous prime is 88400047. The next prime is 88400057. The reversal of 88400048 is 84000488.

It is a junction number, because it is equal to n+sod(n) for n = 88399987 and 88400023.

It is not an unprimeable number, because it can be changed into a prime (88400047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15290 + ... + 20262.

Almost surely, 288400048 is an apocalyptic number.

88400048 is a gapful number since it is divisible by the number (88) 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 88400048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94366728).

88400048 is an abundant number, since it is smaller than the sum of its proper divisors (100333408).

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

88400048 is a wasteful number, since it uses less digits than its factorization.

88400048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 88400048 is about 9402.1299714480. The cubic root of 88400048 is about 445.4690135621.

The spelling of 88400048 in words is "eighty-eight million, four hundred thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 4973 8888 9946 17776 19892 39784 54703 79568 109406 218812 437624 502273 875248 1004546 2009092 4018184 5525003 8036368 11050006 22100012 44200024 88400048