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45042452 = 227131729251
BaseRepresentation
bin1010101111010…
…0101100010100
310010202101121222
42223310230110
543012324302
64245225512
71054566050
oct253645424
9103671558
1045042452
1123475074
1213102298
139440a50
145da6c60
153e4ada2
hex2af4b14

45042452 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 16128000.

The previous prime is 45042451. The next prime is 45042463. The reversal of 45042452 is 25424054.

45042452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45042451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179327 + ... + 179577.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 245042452 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 45042452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

45042452 is an abundant number, since it is smaller than the sum of its proper divisors (61644268).

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

45042452 is a wasteful number, since it uses less digits than its factorization.

45042452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 45042452 is about 6711.3673718550. The cubic root of 45042452 is about 355.8011450986.

The spelling of 45042452 in words is "forty-five million, forty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 17 26 28 29 34 52 58 68 91 116 119 182 203 221 238 251 364 377 406 442 476 493 502 754 812 884 986 1004 1508 1547 1757 1972 2639 3094 3263 3451 3514 4267 5278 6188 6409 6526 6902 7028 7279 8534 10556 12818 13052 13804 14558 17068 22841 25636 29116 29869 44863 45682 50953 55471 59738 89726 91364 94627 101906 110942 119476 123743 179452 189254 203812 221884 247486 378508 388297 494972 662389 776594 866201 1324778 1553188 1608659 1732402 2649556 3217318 3464804 6434636 11260613 22521226 45042452