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49398960 = 24351371223
BaseRepresentation
bin1011110001110…
…0010010110000
310102221201122010
42330130102300
5100121231320
64522442520
71136612202
oct274342260
9112851563
1049398960
1125980196
1214663440
13a307970
1467bc772
15450bae0
hex2f1c4b0

49398960 has 160 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 11934720.

The previous prime is 49398941. The next prime is 49398961. The reversal of 49398960 is 6989394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49398961) 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, 221409 + ... + 221631.

Almost surely, 249398960 is an apocalyptic number.

49398960 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 49398960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

49398960 is an abundant number, since it is smaller than the sum of its proper divisors (118590288).

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

49398960 is a wasteful number, since it uses less digits than its factorization.

49398960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 49398960 is about 7028.4393715817. The cubic root of 49398960 is about 366.9210282801.

The spelling of 49398960 in words is "forty-nine million, three hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 71 78 80 104 120 130 142 156 195 208 213 223 240 260 284 312 355 390 426 446 520 568 624 669 710 780 852 892 923 1040 1065 1115 1136 1338 1420 1560 1704 1784 1846 2130 2230 2676 2769 2840 2899 3120 3345 3408 3568 3692 4260 4460 4615 5352 5538 5680 5798 6690 7384 8520 8697 8920 9230 10704 11076 11596 13380 13845 14495 14768 15833 17040 17394 17840 18460 22152 23192 26760 27690 28990 31666 34788 36920 43485 44304 46384 47499 53520 55380 57980 63332 69576 73840 79165 86970 94998 110760 115960 126664 139152 158330 173940 189996 205829 221520 231920 237495 253328 316660 347880 379992 411658 474990 617487 633320 695760 759984 823316 949980 1029145 1234974 1266640 1646632 1899960 2058290 2469948 3087435 3293264 3799920 4116580 4939896 6174870 8233160 9879792 12349740 16466320 24699480 49398960