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49719040 = 285731179
BaseRepresentation
bin1011110110101…
…0011100000000
310110112222200221
42331222130000
5100212002130
64533352424
71142414320
oct275523400
9113488627
1049719040
1126079718
1214798714
13a3ba567
146863280
15457187a
hex2f6a700

49719040 has 144 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 16404480.

The previous prime is 49719037. The next prime is 49719041. The reversal of 49719040 is 4091794.

It is a junction number, because it is equal to n+sod(n) for n = 49718987 and 49719005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49719041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277671 + ... + 277849.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 249719040 is an apocalyptic number.

49719040 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 49719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

49719040 is an abundant number, since it is smaller than the sum of its proper divisors (91562240).

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

49719040 is a wasteful number, since it uses less digits than its factorization.

49719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 49719040 is about 7051.1729520697. The cubic root of 49719040 is about 367.7118096563.

The spelling of 49719040 in words is "forty-nine million, seven hundred nineteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 179 217 224 248 256 280 310 320 358 434 448 496 560 620 640 716 868 895 896 992 1085 1120 1240 1253 1280 1432 1736 1790 1792 1984 2170 2240 2480 2506 2864 3472 3580 3968 4340 4480 4960 5012 5549 5728 6265 6944 7160 7936 8680 8960 9920 10024 11098 11456 12530 13888 14320 17360 19840 20048 22196 22912 25060 27745 27776 28640 34720 38843 39680 40096 44392 45824 50120 55490 55552 57280 69440 77686 80192 88784 100240 110980 114560 138880 155372 160384 177568 194215 200480 221960 229120 277760 310744 320768 355136 388430 400960 443920 621488 710272 776860 801920 887840 1242976 1420544 1553720 1603840 1775680 2485952 3107440 3551360 4971904 6214880 7102720 9943808 12429760 24859520 49719040