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45195276 = 223723149157
BaseRepresentation
bin1010110001101…
…0000000001100
310011001011021010
42230122000030
543032222101
64252405220
71056103440
oct254320014
9104034233
1045195276
1123569975
1213176810
139495489
146006820
153e7b2d6
hex2b1a00c

45195276 has 96 divisors (see below), whose sum is σ = 127411200. Its totient is φ = 12190464.

The previous prime is 45195259. The next prime is 45195277. The reversal of 45195276 is 67259154.

It is a super-2 number, since 2×451952762 = 4085225945432352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45195277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287790 + ... + 287946.

It is an arithmetic number, because the mean of its divisors is an integer number (1327200).

Almost surely, 245195276 is an apocalyptic number.

45195276 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45195276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63705600).

45195276 is an abundant number, since it is smaller than the sum of its proper divisors (82215924).

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

45195276 is a wasteful number, since it uses less digits than its factorization.

45195276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 45195276 is about 6722.7431900973. The cubic root of 45195276 is about 356.2030886829.

The spelling of 45195276 in words is "forty-five million, one hundred ninety-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 149 157 161 276 298 314 322 447 471 483 596 628 644 894 942 966 1043 1099 1788 1884 1932 2086 2198 3129 3297 3427 3611 4172 4396 6258 6594 6854 7222 10281 10833 12516 13188 13708 14444 20562 21666 23393 23989 25277 41124 43332 46786 47978 50554 70179 71967 75831 93572 95956 101108 140358 143934 151662 163751 280716 287868 303324 327502 491253 538039 655004 982506 1076078 1614117 1965012 2152156 3228234 3766273 6456468 7532546 11298819 15065092 22597638 45195276