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45404216 = 23111324371
BaseRepresentation
bin1010110100110…
…1000000111000
310011102202212122
42231031000320
543110413331
64301100412
71060633544
oct255150070
9104382778
1045404216
11236a1950
1213257708
139539600
14605ca24
153ebd17b
hex2b4d038

45404216 has 96 divisors (see below), whose sum is σ = 104353920. Its totient is φ = 18345600.

The previous prime is 45404213. The next prime is 45404221. The reversal of 45404216 is 61240454.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45404213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639461 + ... + 639531.

It is an arithmetic number, because the mean of its divisors is an integer number (1087020).

Almost surely, 245404216 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 45404216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52176960).

45404216 is an abundant number, since it is smaller than the sum of its proper divisors (58949704).

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

45404216 is a wasteful number, since it uses less digits than its factorization.

45404216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45404216 is about 6738.2650586037. The cubic root of 45404216 is about 356.7511598039.

The spelling of 45404216 in words is "forty-five million, four hundred four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 71 86 88 104 142 143 169 172 284 286 338 344 473 559 568 572 676 781 923 946 1118 1144 1352 1562 1846 1859 1892 2236 3053 3124 3692 3718 3784 4472 6106 6149 6248 7267 7384 7436 10153 11999 12212 12298 14534 14872 20306 23998 24424 24596 29068 33583 39689 40612 47996 49192 58136 67166 79378 79937 81224 95992 131989 134332 158756 159874 263978 268664 317512 319748 436579 515957 527956 639496 873158 1031914 1055912 1746316 2063828 3492632 4127656 5675527 11351054 22702108 45404216