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49243920 = 24351123811
BaseRepresentation
bin1011101111011…
…0011100010000
310102122211221220
42323312130100
5100101301140
64515245040
71135365165
oct273663420
9112584856
1049243920
1125884760
12145a9780
13a28221b
14677c06c
1544cabd0
hex2ef6710

49243920 has 160 divisors (see below), whose sum is σ = 173988864. Its totient is φ = 11404800.

The previous prime is 49243913. The next prime is 49243927. The reversal of 49243920 is 2934294.

It is an interprime number because it is at equal distance from previous prime (49243913) and next prime (49243927).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (49243927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60315 + ... + 61125.

Almost surely, 249243920 is an apocalyptic number.

49243920 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 49243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86994432).

49243920 is an abundant number, since it is smaller than the sum of its proper divisors (124744944).

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

49243920 is a wasteful number, since it uses less digits than its factorization.

49243920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 49243920 is about 7017.4012283751. The cubic root of 49243920 is about 366.5367620630.

The spelling of 49243920 in words is "forty-nine million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 811 880 920 1012 1104 1265 1320 1380 1518 1622 1840 2024 2433 2530 2640 2760 3036 3244 3795 4048 4055 4866 5060 5520 6072 6488 7590 8110 8921 9732 10120 12144 12165 12976 15180 16220 17842 18653 19464 20240 24330 26763 30360 32440 35684 37306 38928 44605 48660 53526 55959 60720 64880 71368 74612 89210 93265 97320 107052 111918 133815 142736 149224 178420 186530 194640 205183 214104 223836 267630 279795 298448 356840 373060 410366 428208 447672 535260 559590 615549 713680 746120 820732 895344 1025915 1070520 1119180 1231098 1492240 1641464 2051830 2141040 2238360 2462196 3077745 3282928 4103660 4476720 4924392 6155490 8207320 9848784 12310980 16414640 24621960 49243920