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48069240 = 23351929727
BaseRepresentation
bin1011011101011…
…1101001111000
310100110011121020
42313113221320
544301203430
64434142440
71122403362
oct267275170
9110404536
1048069240
112515214a
1214121a20
139c6064b
146553d32
154347b10
hex2dd7a78

48069240 has 128 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 11708928.

The previous prime is 48069239. The next prime is 48069277. The reversal of 48069240 is 4296084.

It is a super-3 number, since 3×480692403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65757 + ... + 66483.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 248069240 is an apocalyptic number.

48069240 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 48069240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

48069240 is an abundant number, since it is smaller than the sum of its proper divisors (109178760).

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

48069240 is a wasteful number, since it uses less digits than its factorization.

48069240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48069240 is about 6933.1983961228. The cubic root of 48069240 is about 363.5987810401.

The spelling of 48069240 in words is "forty-eight million, sixty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 727 760 870 1102 1140 1160 1454 1653 1740 2181 2204 2280 2755 2908 3306 3480 3635 4362 4408 5510 5816 6612 7270 8265 8724 10905 11020 13224 13813 14540 16530 17448 21083 21810 22040 27626 29080 33060 41439 42166 43620 55252 63249 66120 69065 82878 84332 87240 105415 110504 126498 138130 165756 168664 207195 210830 252996 276260 316245 331512 400577 414390 421660 505992 552520 632490 801154 828780 843320 1201731 1264980 1602308 1657560 2002885 2403462 2529960 3204616 4005770 4806924 6008655 8011540 9613848 12017310 16023080 24034620 48069240