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48924720 = 24325135227
BaseRepresentation
bin1011101010100…
…0100000110000
310102001122002200
42322220200300
5100011042340
64504343200
71132565445
oct272504060
9112048080
1048924720
1125686959
1214474b00
13a19cb50
1466d79cc
154466330
hex2ea8830

48924720 has 120 divisors (see below), whose sum is σ = 176978256. Its totient is φ = 12040704.

The previous prime is 48924683. The next prime is 48924721. The reversal of 48924720 is 2742984.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (48924721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6747 + ... + 11973.

Almost surely, 248924720 is an apocalyptic number.

48924720 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 48924720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88489128).

48924720 is an abundant number, since it is smaller than the sum of its proper divisors (128053536).

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

48924720 is a wasteful number, since it uses less digits than its factorization.

48924720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48924720 is about 6994.6207902931. The cubic root of 48924720 is about 365.7430786715.

The spelling of 48924720 in words is "forty-eight million, nine hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 5227 9360 10454 15681 20908 26135 31362 41816 47043 52270 62724 67951 78405 83632 94086 104540 125448 135902 156810 188172 203853 209080 235215 250896 271804 313620 339755 376344 407706 418160 470430 543608 611559 627240 679510 752688 815412 940860 1019265 1087216 1223118 1254480 1359020 1630824 1881720 2038530 2446236 2718040 3057795 3261648 3763440 4077060 4892472 5436080 6115590 8154120 9784944 12231180 16308240 24462360 48924720