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48369920 = 285233153
BaseRepresentation
bin1011100010000…
…1000100000000
310101000110001112
42320201010000
544340314140
64444422452
71125065114
oct270410400
9111013045
1048369920
1125338045
1214247a28
13a037471
1465d1744
1543a6c65
hex2e21100

48369920 has 144 divisors (see below), whose sum is σ = 127153152. Its totient is φ = 17571840.

The previous prime is 48369907. The next prime is 48369961. The reversal of 48369920 is 2996384.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912614 + ... + 912666.

It is an arithmetic number, because the mean of its divisors is an integer number (883008).

Almost surely, 248369920 is an apocalyptic number.

48369920 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 48369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576576).

48369920 is an abundant number, since it is smaller than the sum of its proper divisors (78783232).

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

48369920 is a wasteful number, since it uses less digits than its factorization.

48369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 48369920 is about 6954.8486683752. The cubic root of 48369920 is about 364.3553266576.

The spelling of 48369920 in words is "forty-eight million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 53 62 64 80 92 106 115 124 128 155 160 184 212 230 248 256 265 310 320 368 424 460 496 530 620 640 713 736 848 920 992 1060 1219 1240 1280 1426 1472 1643 1696 1840 1984 2120 2438 2480 2852 2944 3286 3392 3565 3680 3968 4240 4876 4960 5704 5888 6095 6572 6784 7130 7360 7936 8215 8480 9752 9920 11408 12190 13144 13568 14260 14720 16430 16960 19504 19840 22816 24380 26288 28520 29440 32860 33920 37789 39008 39680 45632 48760 52576 57040 65720 67840 75578 78016 91264 97520 105152 114080 131440 151156 156032 182528 188945 195040 210304 228160 262880 302312 312064 377890 390080 420608 456320 525760 604624 755780 780160 912640 1051520 1209248 1511560 1560320 2103040 2418496 3023120 4836992 6046240 9673984 12092480 24184960 48369920