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48798960 = 2435731937
BaseRepresentation
bin1011101000100…
…1110011110000
310101211020120220
42322021303300
544443031320
64501533040
71131533010
oct272116360
9111736526
1048798960
1125600421
1214414180
13a157832
1466a3c40
15443de40
hex2e89cf0

48798960 has 160 divisors (see below), whose sum is σ = 178655232. Its totient is φ = 10782720.

The previous prime is 48798949. The next prime is 48798983. The reversal of 48798960 is 6989784.

It is a happy number.

48798960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51612 + ... + 52548.

Almost surely, 248798960 is an apocalyptic number.

48798960 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 48798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89327616).

48798960 is an abundant number, since it is smaller than the sum of its proper divisors (129856272).

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

48798960 is a wasteful number, since it uses less digits than its factorization.

48798960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 48798960 is about 6985.6252404491. The cubic root of 48798960 is about 365.4294313890.

The spelling of 48798960 in words is "forty-eight million, seven hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 937 1085 1240 1302 1488 1680 1736 1860 1874 2170 2480 2604 2811 3255 3472 3720 3748 4340 4685 5208 5622 6510 6559 7440 7496 8680 9370 10416 11244 13020 13118 14055 14992 17360 18740 19677 22488 26040 26236 28110 29047 32795 37480 39354 44976 52080 52472 56220 58094 65590 74960 78708 87141 98385 104944 112440 116188 131180 145235 157416 174282 196770 203329 224880 232376 262360 290470 314832 348564 393540 406658 435705 464752 524720 580940 609987 697128 787080 813316 871410 1016645 1161880 1219974 1394256 1574160 1626632 1742820 2033290 2323760 2439948 3049935 3253264 3485640 4066580 4879896 6099870 6971280 8133160 9759792 12199740 16266320 24399480 48798960