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91374416 = 2472116549
BaseRepresentation
bin1010111001001…
…00001101010000
320100221022010122
411130210031100
5141342440131
613022245412
72156445500
oct534441520
9210838118
1091374416
114763aa51
1226726868
1315c13703
14c1c7a00
15804dd7b
hex5724350

91374416 has 30 divisors (see below), whose sum is σ = 205943850. Its totient is φ = 39160128.

The previous prime is 91374347. The next prime is 91374419. The reversal of 91374416 is 61447319.

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 16032016 = 8680^2 + 4004^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91374419) 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 5 ways as a sum of consecutive naturals, for example, 57491 + ... + 59058.

It is an arithmetic number, because the mean of its divisors is an integer number (6864795).

Almost surely, 291374416 is an apocalyptic number.

It is an amenable number.

91374416 is an abundant number, since it is smaller than the sum of its proper divisors (114569434).

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

91374416 is a wasteful number, since it uses less digits than its factorization.

91374416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116571 (or 116558 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 91374416 is about 9558.9966000622. The cubic root of 91374416 is about 450.4101873063.

The spelling of 91374416 in words is "ninety-one million, three hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 116549 233098 466196 815843 932392 1631686 1864784 3263372 5710901 6526744 11421802 13053488 22843604 45687208 91374416