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45048276 = 223271313751
BaseRepresentation
bin1010101111011…
…0000111010100
310010202200121200
42223312013110
543013021101
64245312500
71054622040
oct253660724
9103680550
1045048276
1123479489
1213105730
1394435b0
145da9020
153e4c986
hex2af61d4

45048276 has 72 divisors (see below), whose sum is σ = 140160384. Its totient is φ = 11880000.

The previous prime is 45048271. The next prime is 45048287. The reversal of 45048276 is 67284054.

45048276 is a `hidden beast` number, since 4 + 504 + 82 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45048276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45048271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3600 + ... + 10151.

It is an arithmetic number, because the mean of its divisors is an integer number (1946672).

Almost surely, 245048276 is an apocalyptic number.

It is an amenable number.

45048276 is an abundant number, since it is smaller than the sum of its proper divisors (95112108).

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

45048276 is a wasteful number, since it uses less digits than its factorization.

45048276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45048276 is about 6711.8012485472. The cubic root of 45048276 is about 355.8164794959.

The spelling of 45048276 in words is "forty-five million, forty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 13751 27502 41253 55004 82506 96257 123759 165012 178763 192514 247518 288771 357526 385028 495036 536289 577542 715052 866313 1072578 1155084 1251341 1608867 1732626 2145156 2502682 3217734 3465252 3754023 5005364 6435468 7508046 11262069 15016092 22524138 45048276