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45898368 = 273177989
BaseRepresentation
bin1010111100010…
…1101010000000
310012100212201120
42233011222000
543222221433
64315432240
71065062325
oct257055200
9105325646
1045898368
11239aa13a
1213455680
1396804c9
14614ab4c
1540697b3
hex2bc5a80

45898368 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 14057472.

The previous prime is 45898343. The next prime is 45898373. The reversal of 45898368 is 86389854.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 45898368.

It is an unprimeable number.

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, 515668 + ... + 515756.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 245898368 is an apocalyptic number.

45898368 is a gapful number since it is divisible by the number (48) 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 45898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

45898368 is an abundant number, since it is smaller than the sum of its proper divisors (86293632).

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

45898368 is a wasteful number, since it uses less digits than its factorization.

45898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 45898368 is about 6774.8334296867. The cubic root of 45898368 is about 358.0407140321.

The spelling of 45898368 in words is "forty-five million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 89 96 102 128 136 158 178 192 204 237 267 272 316 356 384 408 474 534 544 632 712 816 948 1068 1088 1264 1343 1424 1513 1632 1896 2136 2176 2528 2686 2848 3026 3264 3792 4029 4272 4539 5056 5372 5696 6052 6528 7031 7584 8058 8544 9078 10112 10744 11392 12104 14062 15168 16116 17088 18156 21093 21488 24208 28124 30336 32232 34176 36312 42186 42976 48416 56248 64464 72624 84372 85952 96832 112496 119527 128928 145248 168744 171904 193664 224992 239054 257856 290496 337488 358581 449984 478108 515712 580992 674976 717162 899968 956216 1349952 1434324 1912432 2699904 2868648 3824864 5737296 7649728 11474592 15299456 22949184 45898368