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48374656 = 2711174347
BaseRepresentation
bin1011100010001…
…0001110000000
310101000200112221
42320202032000
544340442111
64444500424
71125114661
oct270421600
9111020487
1048374656
1125340660
121424a714
13a039675
1465d3368
1543a8371
hex2e22380

48374656 has 128 divisors (see below), whose sum is σ = 116328960. Its totient is φ = 19783680.

The previous prime is 48374653. The next prime is 48374659. The reversal of 48374656 is 65647384.

It is an interprime number because it is at equal distance from previous prime (48374653) and next prime (48374659).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (43).

Its product of digits (483840) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48374653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029225 + ... + 1029271.

It is an arithmetic number, because the mean of its divisors is an integer number (908820).

Almost surely, 248374656 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 48374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164480).

48374656 is an abundant number, since it is smaller than the sum of its proper divisors (67954304).

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

48374656 is a wasteful number, since it uses less digits than its factorization.

48374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 48374656 is about 6955.1891419285. The cubic root of 48374656 is about 364.3672178667.

The spelling of 48374656 in words is "forty-eight million, three hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 47 64 68 86 88 94 128 136 172 176 187 188 272 344 352 374 376 473 517 544 688 704 731 748 752 799 946 1034 1088 1376 1408 1462 1496 1504 1598 1892 2021 2068 2176 2752 2924 2992 3008 3196 3784 4042 4136 5504 5848 5984 6016 6392 7568 8041 8084 8272 8789 11696 11968 12784 15136 16082 16168 16544 17578 22231 23392 23936 25568 30272 32164 32336 33088 34357 35156 44462 46784 51136 60544 64328 64672 66176 68714 70312 88924 93568 102272 128656 129344 137428 140624 177848 257312 258688 274856 281248 355696 377927 514624 549712 562496 711392 755854 1029248 1099424 1124992 1422784 1511708 2198848 2845568 3023416 4397696 6046832 12093664 24187328 48374656