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45300376 = 231117107283
BaseRepresentation
bin1010110011001…
…1101010011000
310011020111102201
42230303222120
543044103001
64254535544
71060022032
oct254635230
9104214381
1045300376
1123630930
12132075b4
139501274
146032c52
153e9c501
hex2b33a98

45300376 has 64 divisors (see below), whose sum is σ = 99377280. Its totient is φ = 19130880.

The previous prime is 45300373. The next prime is 45300379. The reversal of 45300376 is 67300354.

45300376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45300373) and next prime (45300379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45300373) 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 15 ways as a sum of consecutive naturals, for example, 159931 + ... + 160213.

It is an arithmetic number, because the mean of its divisors is an integer number (1552770).

Almost surely, 245300376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45300376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49688640).

45300376 is an abundant number, since it is smaller than the sum of its proper divisors (54076904).

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

45300376 is a wasteful number, since it uses less digits than its factorization.

45300376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 45300376 is about 6730.5554005595. Note that the first 3 decimals coincide. The cubic root of 45300376 is about 356.4789874489.

The spelling of 45300376 in words is "forty-five million, three hundred thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 107 136 187 214 283 374 428 566 748 856 1132 1177 1496 1819 2264 2354 3113 3638 4708 4811 6226 7276 9416 9622 12452 14552 19244 20009 24904 30281 38488 40018 52921 60562 80036 105842 121124 160072 211684 242248 333091 423368 514777 666182 1029554 1332364 2059108 2664728 4118216 5662547 11325094 22650188 45300376