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48373440 = 2635411229
BaseRepresentation
bin1011100010000…
…1111011000000
310101000121212220
42320201323000
544340422230
64444451040
71125111303
oct270417300
9111017786
1048373440
112533a755
1214249a80
13a038c4b
1465d2b3a
1543a7d10
hex2e21ec0

48373440 has 112 divisors (see below), whose sum is σ = 157459680. Its totient is φ = 12574720.

The previous prime is 48373433. The next prime is 48373441. The reversal of 48373440 is 4437384.

It is not an unprimeable number, because it can be changed into a prime (48373441) 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, 38746 + ... + 39974.

It is an arithmetic number, because the mean of its divisors is an integer number (1405890).

Almost surely, 248373440 is an apocalyptic number.

48373440 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 48373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78729840).

48373440 is an abundant number, since it is smaller than the sum of its proper divisors (109086240).

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

48373440 is a wasteful number, since it uses less digits than its factorization.

48373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 48373440 is about 6955.1017246335. The cubic root of 48373440 is about 364.3641647925.

The spelling of 48373440 in words is "forty-eight million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1229 1230 1312 1640 1968 2458 2460 2624 3280 3687 3936 4916 4920 6145 6560 7374 7872 9832 9840 12290 13120 14748 18435 19664 19680 24580 29496 36870 39328 39360 49160 50389 58992 73740 78656 98320 100778 117984 147480 151167 196640 201556 235968 251945 294960 302334 393280 403112 503890 589920 604668 755835 806224 1007780 1179840 1209336 1511670 1612448 2015560 2418672 3023340 3224896 4031120 4837344 6046680 8062240 9674688 12093360 16124480 24186720 48373440