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45316992 = 273723733
BaseRepresentation
bin1010110011011…
…1101110000000
310011021100020010
42230313232000
543100120432
64255144520
71060121340
oct254675600
9104240203
1045316992
1123642366
1213215140
1395089b6
146038d20
153ea23cc
hex2b37b80

45316992 has 128 divisors (see below), whose sum is σ = 143746560. Its totient is φ = 12367872.

The previous prime is 45316981. The next prime is 45317011. The reversal of 45316992 is 29961354.

45316992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45316992.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61458 + ... + 62190.

It is an arithmetic number, because the mean of its divisors is an integer number (1123020).

Almost surely, 245316992 is an apocalyptic number.

45316992 is a gapful number since it is divisible by the number (42) 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 45316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71873280).

45316992 is an abundant number, since it is smaller than the sum of its proper divisors (98429568).

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

45316992 is a wasteful number, since it uses less digits than its factorization.

45316992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 45316992 is about 6731.7896580330. The cubic root of 45316992 is about 356.5225671519.

The spelling of 45316992 in words is "forty-five million, three hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 733 736 896 966 1104 1288 1344 1466 1472 1932 2199 2208 2576 2688 2932 2944 3864 4398 4416 5131 5152 5864 7728 8796 8832 10262 10304 11728 15393 15456 16859 17592 20524 20608 23456 30786 30912 33718 35184 41048 46912 50577 61572 61824 67436 70368 82096 93824 101154 118013 123144 134872 140736 164192 202308 236026 246288 269744 281472 328384 354039 404616 472052 492576 539488 656768 708078 809232 944104 985152 1078976 1416156 1618464 1888208 1970304 2157952 2832312 3236928 3776416 5664624 6473856 7552832 11329248 15105664 22658496 45316992