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48366864 = 24327133691
BaseRepresentation
bin1011100010000…
…0010100010000
310101000021212100
42320200110100
544340214424
64444400400
71125053160
oct270402420
9111007770
1048366864
1125335817
1214246100
13a035c60
1465d05a0
1543a5dc9
hex2e20510

48366864 has 120 divisors (see below), whose sum is σ = 166642112. Its totient is φ = 12752640.

The previous prime is 48366847. The next prime is 48366869. The reversal of 48366864 is 46866384.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48366869) 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, 11259 + ... + 14949.

Almost surely, 248366864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48366864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83321056).

48366864 is an abundant number, since it is smaller than the sum of its proper divisors (118275248).

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

48366864 is a wasteful number, since it uses less digits than its factorization.

48366864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3716 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 48366864 is about 6954.6289620655. The cubic root of 48366864 is about 364.3476532018.

The spelling of 48366864 in words is "forty-eight million, three hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 3691 4368 6552 7382 11073 13104 14764 22146 25837 29528 33219 44292 47983 51674 59056 66438 77511 88584 95966 103348 132876 143949 155022 177168 191932 206696 232533 265752 287898 310044 335881 383864 413392 431847 465066 531504 575796 620088 671762 767728 863694 930132 1007643 1151592 1240176 1343524 1727388 1860264 2015286 2303184 2687048 3022929 3454776 3720528 4030572 5374096 6045858 6909552 8061144 12091716 16122288 24183432 48366864