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45476704 = 2572132397
BaseRepresentation
bin1010110101111…
…0101101100000
310011120110022101
42231132231200
543120223304
64302420144
71061355100
oct255365540
9104513271
1045476704
1123741359
1213291654
1395635c0
14607b200
153ed48a4
hex2b5eb60

45476704 has 144 divisors (see below), whose sum is σ = 118244448. Its totient is φ = 17031168.

The previous prime is 45476699. The next prime is 45476729. The reversal of 45476704 is 40767454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468784 + ... + 468880.

It is an arithmetic number, because the mean of its divisors is an integer number (821142).

Almost surely, 245476704 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 45476704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59122224).

45476704 is an abundant number, since it is smaller than the sum of its proper divisors (72767744).

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

45476704 is a wasteful number, since it uses less digits than its factorization.

45476704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 45476704 is about 6743.6417461191. The cubic root of 45476704 is about 356.9409103791.

The spelling of 45476704 in words is "forty-five million, four hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 49 52 56 91 92 97 98 104 112 161 182 184 194 196 208 224 299 322 364 368 388 392 416 598 637 644 679 728 736 776 784 1127 1196 1261 1274 1288 1358 1456 1552 1568 2093 2231 2254 2392 2522 2548 2576 2716 2912 3104 4186 4462 4508 4753 4784 5044 5096 5152 5432 8372 8827 8924 9016 9506 9568 10088 10192 10864 14651 15617 16744 17654 17848 18032 19012 20176 20384 21728 29003 29302 31234 33488 35308 35696 36064 38024 40352 58006 58604 61789 62468 66976 70616 71392 76048 109319 116012 117208 123578 124936 141232 152096 203021 218638 232024 234416 247156 249872 282464 406042 437276 464048 468832 494312 499744 812084 874552 928096 988624 1421147 1624168 1749104 1977248 2842294 3248336 3498208 5684588 6496672 11369176 22738352 45476704