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49329140 = 22573789107
BaseRepresentation
bin1011110000101…
…1001111110100
310102211011212012
42330023033310
5100112013030
64521143352
71136201510
oct274131764
9112734765
1049329140
1125932793
121462ab58
13a2b1c53
1467a1140
1544e6095
hex2f0b3f4

49329140 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 16118784.

The previous prime is 49329097. The next prime is 49329151. The reversal of 49329140 is 4192394.

49329140 = T151 + T152 + ... + T668.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 49329097 and 49329106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460967 + ... + 461073.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 249329140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49329140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

49329140 is an abundant number, since it is smaller than the sum of its proper divisors (74775820).

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

49329140 is a wasteful number, since it uses less digits than its factorization.

49329140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 49329140 is about 7023.4706520352. The cubic root of 49329140 is about 366.7480792593.

The spelling of 49329140 in words is "forty-nine million, three hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 89 107 140 148 178 185 214 259 356 370 428 445 518 535 623 740 749 890 1036 1070 1246 1295 1498 1780 2140 2492 2590 2996 3115 3293 3745 3959 5180 6230 6586 7490 7918 9523 12460 13172 14980 15836 16465 19046 19795 23051 27713 32930 38092 39590 46102 47615 55426 65860 66661 79180 92204 95230 110852 115255 133322 138565 190460 230510 266644 277130 333305 352351 461020 554260 666610 704702 1333220 1409404 1761755 2466457 3523510 4932914 7047020 9865828 12332285 24664570 49329140