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125434998 = 232131989317
BaseRepresentation
bin1110111100111…
…11110001110110
322202000202110200
413132133301312
5224102404443
620240301330
73052115463
oct736376166
9282022420
10125434998
1164894197
1236011846
131ccaa9c0
141293266a
15b02add3
hex779fc76

125434998 has 96 divisors (see below), whose sum is σ = 312530400. Its totient is φ = 36039168.

The previous prime is 125434997. The next prime is 125435029. The reversal of 125434998 is 899434521.

125434998 is a `hidden beast` number, since 12 + 543 + 4 + 9 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125434997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395536 + ... + 395852.

It is an arithmetic number, because the mean of its divisors is an integer number (3255525).

Almost surely, 2125434998 is an apocalyptic number.

125434998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125434998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156265200).

125434998 is an abundant number, since it is smaller than the sum of its proper divisors (187095402).

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

125434998 is a wasteful number, since it uses less digits than its factorization.

125434998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 125434998 is about 11199.7766942024. The cubic root of 125434998 is about 500.5793258372.

The spelling of 125434998 in words is "one hundred twenty-five million, four hundred thirty-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 89 114 117 171 178 234 247 267 317 342 494 534 634 741 801 951 1157 1482 1602 1691 1902 2223 2314 2853 3382 3471 4121 4446 5073 5706 6023 6942 8242 10146 10413 12046 12363 15219 18069 20826 21983 24726 28213 30438 36138 37089 43966 54207 56426 65949 74178 78299 84639 108414 131898 156598 169278 197847 234897 253917 366769 395694 469794 507834 536047 704691 733538 1072094 1100307 1409382 1608141 2200614 3216282 3300921 4824423 6601842 6968611 9648846 13937222 20905833 41811666 62717499 125434998