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49078440 = 23335291567
BaseRepresentation
bin1011101100111…
…0000010101000
310102100102222000
42323032002220
5100031002230
64511531000
71134105555
oct273160250
9112312860
1049078440
11257813a4
1214529a60
13a224ac8
146737a2c
154496b60
hex2ece0a8

49078440 has 128 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 12628224.

The previous prime is 49078433. The next prime is 49078441. The reversal of 49078440 is 4487094.

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 = 49078395 and 49078404.

It is not an unprimeable number, because it can be changed into a prime (49078441) 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, 30537 + ... + 32103.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 249078440 is an apocalyptic number.

49078440 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 49078440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

49078440 is an abundant number, since it is smaller than the sum of its proper divisors (120265560).

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

49078440 is a wasteful number, since it uses less digits than its factorization.

49078440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 49078440 is about 7005.6006166495. The cubic root of 49078440 is about 366.1257294459.

The spelling of 49078440 in words is "forty-nine million, seventy-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1567 1740 2088 2610 3132 3134 3480 3915 4701 5220 6264 6268 7830 7835 9402 10440 12536 14103 15660 15670 18804 23505 28206 31320 31340 37608 42309 45443 47010 56412 62680 70515 84618 90886 94020 112824 136329 141030 169236 181772 188040 211545 227215 272658 282060 338472 363544 408987 423090 454430 545316 564120 681645 817974 846180 908860 1090632 1226961 1363290 1635948 1692360 1817720 2044935 2453922 2726580 3271896 4089870 4907844 5453160 6134805 8179740 9815688 12269610 16359480 24539220 49078440