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45504696 = 23319731367
BaseRepresentation
bin1010110110010…
…1100010111000
310011121212201010
42231211202320
543122122241
64303153520
71061532516
oct255454270
9104555633
1045504696
1123760396
12132a58a0
139573273
1460874b6
153edcd16
hex2b658b8

45504696 has 64 divisors (see below), whose sum is σ = 121478400. Its totient is φ = 14162688.

The previous prime is 45504691. The next prime is 45504727. The reversal of 45504696 is 69640554.

45504696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45504691) 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, 32605 + ... + 33971.

It is an arithmetic number, because the mean of its divisors is an integer number (1898100).

Almost surely, 245504696 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 45504696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60739200).

45504696 is an abundant number, since it is smaller than the sum of its proper divisors (75973704).

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

45504696 is a wasteful number, since it uses less digits than its factorization.

45504696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 45504696 is about 6745.7168633141. The cubic root of 45504696 is about 357.0141305833.

The spelling of 45504696 in words is "forty-five million, five hundred four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1367 1387 1752 2734 2774 4101 4161 5468 5548 8202 8322 10936 11096 16404 16644 25973 32808 33288 51946 77919 99791 103892 155838 199582 207784 299373 311676 399164 598746 623352 798328 1197492 1896029 2394984 3792058 5688087 7584116 11376174 15168232 22752348 45504696