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48126720 = 283583151
BaseRepresentation
bin1011011110010…
…1101100000000
310100120002110010
42313211230000
544310023340
64435304520
71123033065
oct267455400
9110502403
1048126720
1125191354
121414b140
139c80865
14656ac6c
154359b80
hex2de5b00

48126720 has 144 divisors (see below), whose sum is σ = 156586752. Its totient is φ = 12595200.

The previous prime is 48126709. The next prime is 48126733. The reversal of 48126720 is 2762184.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318645 + ... + 318795.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 248126720 is an apocalyptic number.

48126720 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 48126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

48126720 is an abundant number, since it is smaller than the sum of its proper divisors (108460032).

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

48126720 is a wasteful number, since it uses less digits than its factorization.

48126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 48126720 is about 6937.3424306430. The cubic root of 48126720 is about 363.7436507672.

The spelling of 48126720 in words is "forty-eight million, one hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 151 160 166 192 240 249 256 302 320 332 384 415 453 480 498 604 640 664 755 768 830 906 960 996 1208 1245 1280 1328 1510 1660 1812 1920 1992 2265 2416 2490 2656 3020 3320 3624 3840 3984 4530 4832 4980 5312 6040 6640 7248 7968 9060 9664 9960 10624 12080 12533 13280 14496 15936 18120 19328 19920 21248 24160 25066 26560 28992 31872 36240 37599 38656 39840 48320 50132 53120 57984 62665 63744 72480 75198 79680 96640 100264 106240 115968 125330 144960 150396 159360 187995 193280 200528 250660 289920 300792 318720 375990 401056 501320 579840 601584 751980 802112 1002640 1203168 1503960 1604224 2005280 2406336 3007920 3208448 4010560 4812672 6015840 8021120 9625344 12031680 16042240 24063360 48126720