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48920544 = 2533411381
BaseRepresentation
bin1011101010011…
…1011111100000
310102001102101000
42322213133200
5100010424134
64504312000
71132550331
oct272473740
9112042330
1048920544
1125683802
1214472600
13a19ac8a
1466d6288
154464e99
hex2ea77e0

48920544 has 96 divisors (see below), whose sum is σ = 146270880. Its totient is φ = 15897600.

The previous prime is 48920539. The next prime is 48920569. The reversal of 48920544 is 44502984.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 48920499 and 48920508.

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, 34734 + ... + 36114.

It is an arithmetic number, because the mean of its divisors is an integer number (1523655).

Almost surely, 248920544 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 48920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73135440).

48920544 is an abundant number, since it is smaller than the sum of its proper divisors (97350336).

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

48920544 is a wasteful number, since it uses less digits than its factorization.

48920544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48920544 is about 6994.3222688120. The cubic root of 48920544 is about 365.7326722992.

The spelling of 48920544 in words is "forty-eight million, nine hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1381 1476 1968 2214 2762 2952 3936 4143 4428 5524 5904 8286 8856 11048 11808 12429 16572 17712 22096 24858 33144 35424 37287 44192 49716 56621 66288 74574 99432 113242 132576 149148 169863 198864 226484 298296 339726 397728 452968 509589 596592 679452 905936 1019178 1193184 1358904 1528767 1811872 2038356 2717808 3057534 4076712 5435616 6115068 8153424 12230136 16306848 24460272 48920544