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45201078 = 234133127
BaseRepresentation
bin1010110001101…
…1011010110110
310011001110020000
42230123122312
543032413303
64252452130
71056126366
oct254333266
9104043200
1045201078
112357326a
121317a046
139498000
1460089a6
153e7cda3
hex2b1b6b6

45201078 has 80 divisors (see below), whose sum is σ = 110584320. Its totient is φ = 13798512.

The previous prime is 45201077. The next prime is 45201083. The reversal of 45201078 is 87010254.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45201077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355851 + ... + 355977.

It is an arithmetic number, because the mean of its divisors is an integer number (1382304).

Almost surely, 245201078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45201078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55292160).

45201078 is an abundant number, since it is smaller than the sum of its proper divisors (65383242).

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

45201078 is a wasteful number, since it uses less digits than its factorization.

45201078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 45201078 is about 6723.1746965254. The cubic root of 45201078 is about 356.2183307028.

The spelling of 45201078 in words is "forty-five million, two hundred one thousand, seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 127 162 169 234 254 338 351 381 507 702 762 1014 1053 1143 1521 1651 2106 2197 2286 3042 3302 3429 4394 4563 4953 6591 6858 9126 9906 10287 13182 13689 14859 19773 20574 21463 27378 29718 39546 42926 44577 59319 64389 89154 118638 128778 133731 177957 193167 267462 279019 355914 386334 558038 579501 837057 1159002 1674114 1738503 2511171 3477006 5022342 7533513 15067026 22600539 45201078