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45243408 = 2437192373
BaseRepresentation
bin1010110010010…
…1110000010000
310011010121021210
42230211300100
543040242113
64253420120
71056363660
oct254456020
9104117253
1045243408
11235a2051
121319a640
1394b1362
14601a1a0
153e8a6c3
hex2b25c10

45243408 has 120 divisors (see below), whose sum is σ = 141354048. Its totient is φ = 12213504.

The previous prime is 45243361. The next prime is 45243413. The reversal of 45243408 is 80434254.

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, 121110 + ... + 121482.

Almost surely, 245243408 is an apocalyptic number.

45243408 is a gapful number since it is divisible by the number (48) 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 45243408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70677024).

45243408 is an abundant number, since it is smaller than the sum of its proper divisors (96110640).

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

45243408 is a wasteful number, since it uses less digits than its factorization.

45243408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 45243408 is about 6726.3220261893. The cubic root of 45243408 is about 356.3294933717.

The spelling of 45243408 in words is "forty-five million, two hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 361 373 399 456 532 722 746 798 912 1064 1083 1119 1444 1492 1596 2128 2166 2238 2527 2611 2888 2984 3192 4332 4476 5054 5222 5776 5968 6384 7087 7581 7833 8664 8952 10108 10444 14174 15162 15666 17328 17904 20216 20888 21261 28348 30324 31332 40432 41776 42522 49609 56696 60648 62664 85044 99218 113392 121296 125328 134653 148827 170088 198436 269306 297654 340176 396872 403959 538612 595308 793744 807918 942571 1077224 1190616 1615836 1885142 2154448 2381232 2827713 3231672 3770284 5655426 6463344 7540568 11310852 15081136 22621704 45243408