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48010752 = 293323151
BaseRepresentation
bin1011011100100…
…1011000000000
310100100012101000
42313021120000
544242321002
64433012000
71122041016
oct267113000
9110305330
1048010752
1125112209
12140b4000
139c3cb3a
14653a8b6
15433561c
hex2dc9600

48010752 has 160 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 15206400.

The previous prime is 48010733. The next prime is 48010763. The reversal of 48010752 is 25701084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 317877 + ... + 318027.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 248010752 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 48010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

48010752 is an abundant number, since it is smaller than the sum of its proper divisors (101265408).

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

48010752 is a wasteful number, since it uses less digits than its factorization.

48010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48010752 is about 6928.9791455885. The cubic root of 48010752 is about 363.4512522081.

The spelling of 48010752 in words is "forty-eight million, ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 151 184 192 207 216 256 276 288 302 368 384 414 432 453 512 552 576 604 621 736 768 828 864 906 1104 1152 1208 1242 1359 1472 1536 1656 1728 1812 2208 2304 2416 2484 2718 2944 3312 3456 3473 3624 4077 4416 4608 4832 4968 5436 5888 6624 6912 6946 7248 8154 8832 9664 9936 10419 10872 11776 13248 13824 13892 14496 16308 17664 19328 19872 20838 21744 26496 27784 28992 31257 32616 35328 38656 39744 41676 43488 52992 55568 57984 62514 65232 77312 79488 83352 86976 93771 105984 111136 115968 125028 130464 158976 166704 173952 187542 222272 231936 250056 260928 317952 333408 347904 375084 444544 500112 521856 666816 695808 750168 889088 1000224 1043712 1333632 1500336 1778176 2000448 2087424 2667264 3000672 4000896 5334528 6001344 8001792 12002688 16003584 24005376 48010752