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49854690 = 2345611009
BaseRepresentation
bin1011111000101…
…1100011100010
310110210212210000
42332023203202
5100230322230
64540320430
71143520644
oct276134342
9113725700
1049854690
1126161626
1214843116
13a437222
14689a894
15459bb60
hex2f8b8e2

49854690 has 80 divisors (see below), whose sum is σ = 136386360. Its totient is φ = 13063680.

The previous prime is 49854671. The next prime is 49854703. The reversal of 49854690 is 9645894.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20985561 + 28869129 = 4581^2 + 5373^2 .

It is a super-4 number, since 4×498546904 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48906 + ... + 49914.

Almost surely, 249854690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49854690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68193180).

49854690 is an abundant number, since it is smaller than the sum of its proper divisors (86531670).

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

49854690 is a wasteful number, since it uses less digits than its factorization.

49854690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 49854690 is about 7060.7853670821. The cubic root of 49854690 is about 368.0459191676.

The spelling of 49854690 in words is "forty-nine million, eight hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1009 1098 1647 1830 2018 2745 3027 3294 4941 5045 5490 6054 8235 9081 9882 10090 15135 16470 18162 24705 27243 30270 45405 49410 54486 61549 81729 90810 123098 136215 163458 184647 272430 307745 369294 408645 553941 615490 817290 923235 1107882 1661823 1846470 2769705 3323646 4985469 5539410 8309115 9970938 16618230 24927345 49854690