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48469120 = 275731349
BaseRepresentation
bin1011100011100…
…1010010000000
310101012111010121
42320321102000
544402002440
64450510024
71125660250
oct270712200
9111174117
1048469120
11253a5627
1214295314
13a07066b
146619960
1543c634a
hex2e39480

48469120 has 128 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 16035840.

The previous prime is 48469117. The next prime is 48469199. The reversal of 48469120 is 2196484.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 138706 + ... + 139054.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 248469120 is an apocalyptic number.

48469120 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 48469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

48469120 is an abundant number, since it is smaller than the sum of its proper divisors (88618880).

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

48469120 is a wasteful number, since it uses less digits than its factorization.

48469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 48469120 is about 6961.9767307856. The cubic root of 48469120 is about 364.6042373284.

The spelling of 48469120 in words is "forty-eight million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 349 434 448 496 560 620 640 698 868 896 992 1085 1120 1240 1396 1736 1745 1984 2170 2240 2443 2480 2792 3472 3490 3968 4340 4480 4886 4960 5584 6944 6980 8680 9772 9920 10819 11168 12215 13888 13960 17360 19544 19840 21638 22336 24430 27776 27920 34720 39088 43276 44672 48860 54095 55840 69440 75733 78176 86552 97720 108190 111680 138880 151466 156352 173104 195440 216380 223360 302932 312704 346208 378665 390880 432760 605864 692416 757330 781760 865520 1211728 1384832 1514660 1563520 1731040 2423456 3029320 3462080 4846912 6058640 6924160 9693824 12117280 24234560 48469120