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48711040 = 275783131
BaseRepresentation
bin1011100111010…
…0010110000000
310101122202222121
42321310112000
544432223130
64500014024
71131015460
oct271642600
9111582877
1048711040
1125550364
1214391314
13a126801
14667dba0
154422d7a
hex2e74580

48711040 has 128 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 16373760.

The previous prime is 48711037. The next prime is 48711043. The reversal of 48711040 is 4011784.

It is an interprime number because it is at equal distance from previous prime (48711037) and next prime (48711043).

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

It is a junction number, because it is equal to n+sod(n) for n = 48710996 and 48711014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48711043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371775 + ... + 371905.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 248711040 is an apocalyptic number.

48711040 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 48711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

48711040 is an abundant number, since it is smaller than the sum of its proper divisors (87006080).

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

48711040 is a wasteful number, since it uses less digits than its factorization.

48711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 48711040 is about 6979.3294806880. The cubic root of 48711040 is about 365.2098374329.

The spelling of 48711040 in words is "forty-eight million, seven hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 128 131 140 160 166 224 262 280 320 332 415 448 524 560 581 640 655 664 830 896 917 1048 1120 1162 1310 1328 1660 1834 2096 2240 2324 2620 2656 2905 3320 3668 4192 4480 4585 4648 5240 5312 5810 6640 7336 8384 9170 9296 10480 10624 10873 11620 13280 14672 16768 18340 18592 20960 21746 23240 26560 29344 36680 37184 41920 43492 46480 53120 54365 58688 73360 74368 76111 83840 86984 92960 108730 117376 146720 152222 173968 185920 217460 293440 304444 347936 371840 380555 434920 586880 608888 695872 761110 869840 1217776 1391744 1522220 1739680 2435552 3044440 3479360 4871104 6088880 6958720 9742208 12177760 24355520 48711040