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38991645 = 335711331
BaseRepresentation
bin1001010010111…
…1011100011101
32201100222111000
42110233130131
534440213040
63511420513
7652265160
oct224573435
981328430
1038991645
1120012000
1211084739
1381028a4
14526dad7
153653130
hex252f71d

38991645 has 128 divisors (see below), whose sum is σ = 89948160. Its totient is φ = 15681600.

The previous prime is 38991613. The next prime is 38991649. The reversal of 38991645 is 54619983.

It is a happy number.

It is not a de Polignac number, because 38991645 - 25 = 38991613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38991645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38991649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1257780 + ... + 1257810.

It is an arithmetic number, because the mean of its divisors is an integer number (702720).

Almost surely, 238991645 is an apocalyptic number.

38991645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38991645 is an abundant number, since it is smaller than the sum of its proper divisors (50956515).

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

38991645 is a wasteful number, since it uses less digits than its factorization.

38991645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 38991645 is about 6244.3290272054. The cubic root of 38991645 is about 339.0969258440.

The spelling of 38991645 in words is "thirty-eight million, nine hundred ninety-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 31 33 35 45 55 63 77 93 99 105 121 135 155 165 189 217 231 279 297 315 341 363 385 465 495 605 651 693 837 847 945 1023 1085 1089 1155 1331 1395 1485 1705 1815 1953 2079 2387 2541 3069 3255 3267 3465 3751 3993 4185 4235 5115 5445 5859 6655 7161 7623 9207 9317 9765 10395 11253 11935 11979 12705 15345 16335 18755 19965 21483 22869 26257 27951 29295 33759 35805 35937 38115 41261 46035 46585 56265 59895 64449 78771 83853 101277 107415 114345 123783 131285 139755 168795 179685 206305 236313 251559 288827 322245 371349 393855 419265 506385 618915 708939 866481 1114047 1181565 1257795 1444135 1856745 2599443 3544695 4332405 5570235 7798329 12997215 38991645