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45136440 = 2334513931
BaseRepresentation
bin1010110000101…
…1101000111000
310010221011120000
42230023220320
543023331230
64251233000
71055440056
oct254135070
9103834500
1045136440
1123529748
1213148760
13947476b
145dcd1d6
153e68b60
hex2b0ba38

45136440 has 80 divisors (see below), whose sum is σ = 151719480. Its totient is φ = 12035520.

The previous prime is 45136433. The next prime is 45136451. The reversal of 45136440 is 4463154.

45136440 is a `hidden beast` number, since 4 + 5 + 13 + 644 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3726 + ... + 10205.

Almost surely, 245136440 is an apocalyptic number.

45136440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45136440 is an abundant number, since it is smaller than the sum of its proper divisors (106583040).

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

45136440 is a wasteful number, since it uses less digits than its factorization.

45136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45136440 is about 6718.3658727402. The cubic root of 45136440 is about 356.0484510919.

Adding to 45136440 its reverse (4463154), we get a palindrome (49599594).

The spelling of 45136440 in words is "forty-five million, one hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13931 27862 41793 55724 69655 83586 111448 125379 139310 167172 208965 250758 278620 334344 376137 417930 501516 557240 626895 752274 835860 1003032 1128411 1253790 1504548 1671720 1880685 2256822 2507580 3009096 3761370 4513644 5015160 5642055 7522740 9027288 11284110 15045480 22568220 45136440