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98013377 = 7211475373
BaseRepresentation
bin1011101011110…
…01000011000001
320211102121002002
411311321003001
5200042412002
613420433345
72300046200
oct565710301
9224377062
1098013377
11503649a0
12289a8855
13173c94a7
14d035237
158911002
hex5d790c1

98013377 has 48 divisors (see below), whose sum is σ = 131196672. Its totient is φ = 72334080.

The previous prime is 98013353. The next prime is 98013401. The reversal of 98013377 is 77331089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98013353) and next prime (98013401).

It is not a de Polignac number, because 98013377 - 28 = 98013121 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

98013377 is a modest number, since divided by 13377 gives 98 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 98013377.

It is not an unprimeable number, because it can be changed into a prime (98013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342613 + ... + 1342685.

It is an arithmetic number, because the mean of its divisors is an integer number (2733264).

Almost surely, 298013377 is an apocalyptic number.

It is an amenable number.

98013377 is a deficient number, since it is larger than the sum of its proper divisors (33183295).

98013377 is a wasteful number, since it uses less digits than its factorization.

98013377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 98013377 is about 9900.1705540864. The cubic root of 98013377 is about 461.0646057366.

The spelling of 98013377 in words is "ninety-eight million, thirteen thousand, three hundred seventy-seven".

Divisors: 1 7 11 47 49 53 73 77 329 371 511 517 539 583 803 2303 2491 2597 3431 3577 3619 3869 4081 5621 17437 24017 25333 27083 27401 28567 37741 39347 42559 122059 168119 181843 189581 191807 264187 297913 1272901 1342649 1849309 2000273 2085391 8910307 14001911 98013377