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88414417 = 7132933503
BaseRepresentation
bin1010100010100…
…01100011010001
320011100220210001
411101101203101
5140113230132
612435010001
72122336660
oct521214321
9204326701
1088414417
11459a9073
1225739901
1315418330
14ba56dd7
157b66ce7
hex54518d1

88414417 has 16 divisors (see below), whose sum is σ = 112573440. Its totient is φ = 67540032.

The previous prime is 88414411. The next prime is 88414439. The reversal of 88414417 is 71441488.

It is a de Polignac number, because none of the positive numbers 2k-88414417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14113 + ... + 19390.

It is an arithmetic number, because the mean of its divisors is an integer number (7035840).

Almost surely, 288414417 is an apocalyptic number.

It is an amenable number.

88414417 is a deficient number, since it is larger than the sum of its proper divisors (24159023).

88414417 is a wasteful number, since it uses less digits than its factorization.

88414417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33552.

The product of its digits is 28672, while the sum is 37.

The square root of 88414417 is about 9402.8940757620. The cubic root of 88414417 is about 445.4931485319.

It can be divided in two parts, 88414 and 417, that added together give a triangular number (88831 = T421).

The spelling of 88414417 in words is "eighty-eight million, four hundred fourteen thousand, four hundred seventeen".

Divisors: 1 7 13 29 91 203 377 2639 33503 234521 435539 971587 3048773 6801109 12630631 88414417