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48270720 = 273531811
BaseRepresentation
bin1011100000100…
…0110110000000
310100211101222110
42320020312000
544324130340
64442335320
71124202651
oct270106600
9110741873
1048270720
112527a563
12141ba540
13a001274
1465a7528
154387680
hex2e08d80

48270720 has 128 divisors (see below), whose sum is σ = 159022080. Its totient is φ = 12441600.

The previous prime is 48270683. The next prime is 48270727. The reversal of 48270720 is 2707284.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48270727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59115 + ... + 59925.

It is an arithmetic number, because the mean of its divisors is an integer number (1242360).

Almost surely, 248270720 is an apocalyptic number.

48270720 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 48270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79511040).

48270720 is an abundant number, since it is smaller than the sum of its proper divisors (110751360).

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

48270720 is a wasteful number, since it uses less digits than its factorization.

48270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 48270720 is about 6947.7132928756. The cubic root of 48270720 is about 364.1060754328.

The spelling of 48270720 in words is "forty-eight million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 811 930 960 992 1240 1488 1622 1860 1920 1984 2433 2480 2976 3244 3720 3968 4055 4866 4960 5952 6488 7440 8110 9732 9920 11904 12165 12976 14880 16220 19464 19840 24330 25141 25952 29760 32440 38928 48660 50282 51904 59520 64880 75423 77856 97320 100564 103808 125705 129760 150846 155712 194640 201128 251410 259520 301692 311424 377115 389280 402256 502820 519040 603384 754230 778560 804512 1005640 1206768 1508460 1557120 1609024 2011280 2413536 3016920 3218048 4022560 4827072 6033840 8045120 9654144 12067680 16090240 24135360 48270720