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48215664 = 24327311543
BaseRepresentation
bin1011011111101…
…1011001110000
310100201121110100
42313323121300
544320400124
64441232400
71123553310
oct267733160
9110647410
1048215664
1125242162
1214192700
139cb21a3
146591440
1543761c9
hex2dfb670

48215664 has 120 divisors (see below), whose sum is σ = 159291392. Its totient is φ = 13322880.

The previous prime is 48215663. The next prime is 48215669. The reversal of 48215664 is 46651284.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48215663) 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, 30477 + ... + 32019.

Almost surely, 248215664 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 48215664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79645696).

48215664 is an abundant number, since it is smaller than the sum of its proper divisors (111075728).

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

48215664 is a wasteful number, since it uses less digits than its factorization.

48215664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1586 counting only the distinct ones).

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

The square root of 48215664 is about 6943.7499954995. The cubic root of 48215664 is about 363.9675936211.

The spelling of 48215664 in words is "forty-eight million, two hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1543 1736 1953 2232 2604 3086 3472 3906 4464 4629 5208 6172 7812 9258 10416 10801 12344 13887 15624 18516 21602 24688 27774 31248 32403 37032 43204 47833 55548 64806 74064 86408 95666 97209 111096 129612 143499 172816 191332 194418 222192 259224 286998 334831 382664 388836 430497 518448 573996 669662 765328 777672 860994 1004493 1147992 1339324 1555344 1721988 2008986 2295984 2678648 3013479 3443976 4017972 5357296 6026958 6887952 8035944 12053916 16071888 24107832 48215664