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48999936 = 293192373
BaseRepresentation
bin1011101011101…
…0111000000000
310102012110021110
42322322320000
5100020444221
64510123320
71133330646
oct272727000
9112173243
1048999936
1125728417
12144b0540
13a1c815b
146717196
15447d776
hex2ebae00

48999936 has 160 divisors (see below), whose sum is σ = 145347840. Its totient is φ = 14598144.

The previous prime is 48999893. The next prime is 48999983. The reversal of 48999936 is 63999984.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 671196 + ... + 671268.

It is an arithmetic number, because the mean of its divisors is an integer number (908424).

Almost surely, 248999936 is an apocalyptic number.

48999936 is a gapful number since it is divisible by the number (46) 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 48999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72673920).

48999936 is an abundant number, since it is smaller than the sum of its proper divisors (96347904).

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

48999936 is a wasteful number, since it uses less digits than its factorization.

48999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 57.

The square root of 48999936 is about 6999.9954285699. The cubic root of 48999936 is about 365.9304116855.

The spelling of 48999936 in words is "forty-eight million, nine hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 73 76 92 96 114 128 138 146 152 184 192 219 228 256 276 292 304 368 384 437 438 456 512 552 584 608 736 768 874 876 912 1104 1168 1216 1311 1387 1472 1536 1679 1748 1752 1824 2208 2336 2432 2622 2774 2944 3358 3496 3504 3648 4161 4416 4672 4864 5037 5244 5548 5888 6716 6992 7008 7296 8322 8832 9344 9728 10074 10488 11096 11776 13432 13984 14016 14592 16644 17664 18688 20148 20976 22192 26864 27968 28032 29184 31901 33288 35328 37376 40296 41952 44384 53728 55936 56064 63802 66576 80592 83904 88768 95703 107456 111872 112128 127604 133152 161184 167808 177536 191406 214912 223744 255208 266304 322368 335616 355072 382812 429824 510416 532608 644736 671232 710144 765624 859648 1020832 1065216 1289472 1531248 2041664 2130432 2578944 3062496 4083328 6124992 8166656 12249984 16333312 24499968 48999936