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48301040 = 2451943739
BaseRepresentation
bin1011100001000…
…0001111110000
310100212221120102
42320100033300
544331113130
64443131532
71124360234
oct270201760
9110787512
1048301040
11252a0317
1214213ba8
13a011cc8
1465b45c4
154391645
hex2e103f0

48301040 has 80 divisors (see below), whose sum is σ = 121123200. Its totient is φ = 17853696.

The previous prime is 48301031. The next prime is 48301049. The reversal of 48301040 is 4010384.

It is an interprime number because it is at equal distance from previous prime (48301031) and next prime (48301049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48301049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64991 + ... + 65729.

It is an arithmetic number, because the mean of its divisors is an integer number (1514040).

Almost surely, 248301040 is an apocalyptic number.

48301040 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 48301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60561600).

48301040 is an abundant number, since it is smaller than the sum of its proper divisors (72822160).

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

48301040 is a wasteful number, since it uses less digits than its factorization.

48301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 48301040 is about 6949.8949632351. The cubic root of 48301040 is about 364.1822940706.

The spelling of 48301040 in words is "forty-eight million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 739 760 817 860 1478 1520 1634 1720 2956 3268 3440 3695 4085 5912 6536 7390 8170 11824 13072 14041 14780 16340 28082 29560 31777 32680 56164 59120 63554 65360 70205 112328 127108 140410 158885 224656 254216 280820 317770 508432 561640 603763 635540 1123280 1207526 1271080 2415052 2542160 3018815 4830104 6037630 9660208 12075260 24150520 48301040