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45469440 = 283253947
BaseRepresentation
bin1010110101110…
…0111100000000
310011120002100100
42231130330000
543120010230
64302322400
71061324652
oct255347400
9104502310
1045469440
1123736955
1213289400
1395601c3
1460786d2
153ed2660
hex2b5cf00

45469440 has 108 divisors (see below), whose sum is σ = 157359384. Its totient is φ = 12122112.

The previous prime is 45469439. The next prime is 45469499. The reversal of 45469440 is 4496454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45469395 and 45469404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9547 + ... + 13493.

Almost surely, 245469440 is an apocalyptic number.

45469440 is a gapful number since it is divisible by the number (40) 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 45469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78679692).

45469440 is an abundant number, since it is smaller than the sum of its proper divisors (111889944).

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

45469440 is a wasteful number, since it uses less digits than its factorization.

45469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45469440 is about 6743.1031432123. The cubic root of 45469440 is about 356.9219046274.

The spelling of 45469440 in words is "forty-five million, four hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 3947 5760 7894 11520 11841 15788 19735 23682 31576 35523 39470 47364 59205 63152 71046 78940 94728 118410 126304 142092 157880 177615 189456 236820 252608 284184 315760 355230 378912 473640 505216 568368 631520 710460 757824 947280 1010432 1136736 1263040 1420920 1515648 1894560 2273472 2526080 2841840 3031296 3789120 4546944 5052160 5683680 7578240 9093888 11367360 15156480 22734720 45469440