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48714480 = 24335191187
BaseRepresentation
bin1011100111010…
…1001011110000
310101122221201000
42321311023300
544432330410
64500042000
71131031503
oct271651360
9111587630
1048714480
1125552a01
1214393300
13a128249
14668113a
154423dc0
hex2e752f0

48714480 has 160 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 12296448.

The previous prime is 48714439. The next prime is 48714493. The reversal of 48714480 is 8441784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 40447 + ... + 41633.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 248714480 is an apocalyptic number.

48714480 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 48714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

48714480 is an abundant number, since it is smaller than the sum of its proper divisors (128059920).

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

48714480 is a wasteful number, since it uses less digits than its factorization.

48714480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48714480 is about 6979.5759183492. The cubic root of 48714480 is about 365.2184343360.

It can be divided in two parts, 48714 and 480, that added together give a palindrome (49194).

The spelling of 48714480 in words is "forty-eight million, seven hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1187 1368 1520 1710 2052 2160 2280 2374 2565 2736 3420 3561 4104 4560 4748 5130 5935 6840 7122 8208 9496 10260 10683 11870 13680 14244 17805 18992 20520 21366 22553 23740 28488 32049 35610 41040 42732 45106 47480 53415 56976 64098 67659 71220 85464 90212 94960 106830 112765 128196 135318 142440 160245 170928 180424 202977 213660 225530 256392 270636 284880 320490 338295 360848 405954 427320 451060 512784 541272 608931 640980 676590 811908 854640 902120 1014885 1082544 1217862 1281960 1353180 1623816 1804240 2029770 2435724 2563920 2706360 3044655 3247632 4059540 4871448 5412720 6089310 8119080 9742896 12178620 16238160 24357240 48714480