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49479040 = 2751319313
BaseRepresentation
bin1011110010111…
…1110110000000
310110002210111001
42330233312000
5100131312130
64524301344
71140364522
oct274576600
9113083431
1049479040
1125a25376
12146a1854
13a335250
1467dda12
1545256ca
hex2f2fd80

49479040 has 128 divisors (see below), whose sum is σ = 134517600. Its totient is φ = 17252352.

The previous prime is 49479019. The next prime is 49479071. The reversal of 49479040 is 4097494.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157924 + ... + 158236.

Almost surely, 249479040 is an apocalyptic number.

49479040 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 49479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67258800).

49479040 is an abundant number, since it is smaller than the sum of its proper divisors (85038560).

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

49479040 is a wasteful number, since it uses less digits than its factorization.

49479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 49479040 is about 7034.1339196805. The cubic root of 49479040 is about 367.1191915124.

The spelling of 49479040 in words is "forty-nine million, four hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 313 320 380 416 494 520 608 626 640 760 832 988 1040 1216 1235 1252 1520 1565 1664 1976 2080 2432 2470 2504 3040 3130 3952 4069 4160 4940 5008 5947 6080 6260 7904 8138 8320 9880 10016 11894 12160 12520 15808 16276 19760 20032 20345 23788 25040 29735 31616 32552 39520 40064 40690 47576 50080 59470 65104 77311 79040 81380 95152 100160 118940 130208 154622 158080 162760 190304 200320 237880 260416 309244 325520 380608 386555 475760 520832 618488 651040 761216 773110 951520 1236976 1302080 1546220 1903040 2473952 2604160 3092440 3806080 4947904 6184880 9895808 12369760 24739520 49479040