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45048444 = 22372233331
BaseRepresentation
bin1010101111011…
…0001001111100
310010202200211220
42223312021330
543013022234
64245313340
71054622400
oct253661174
9103680756
1045048444
1123479621
1213105850
1394436ac
145da9100
153e4ca49
hex2af627c

45048444 has 72 divisors (see below), whose sum is σ = 127628928. Its totient is φ = 12307680.

The previous prime is 45048433. The next prime is 45048469. The reversal of 45048444 is 44484054.

It is a super-2 number, since 2×450484442 = 4058724613642272, which contains 22 as substring.

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, 11859 + ... + 15189.

It is an arithmetic number, because the mean of its divisors is an integer number (1772624).

Almost surely, 245048444 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 45048444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464).

45048444 is an abundant number, since it is smaller than the sum of its proper divisors (82580484).

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

45048444 is a wasteful number, since it uses less digits than its factorization.

45048444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 45048444 is about 6711.8137638048. The cubic root of 45048444 is about 355.8169218147.

The spelling of 45048444 in words is "forty-five million, forty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3331 3381 4508 6662 6762 9993 13324 13524 19986 23317 39972 46634 69951 76613 93268 139902 153226 163219 229839 279804 306452 326438 459678 489657 536291 652876 919356 979314 1072582 1608873 1958628 2145164 3217746 3754037 6435492 7508074 11262111 15016148 22524222 45048444