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53898048 = 263437281
BaseRepresentation
bin1100110110011…
…0101101000000
310202102022020000
43031212231000
5102244214143
65203120000
71223061111
oct315465500
9122368200
1053898048
1128473446
1216073000
13b221749
147230208
154ae9bd3
hex3366b40

53898048 has 140 divisors (see below), whose sum is σ = 164672772. Its totient is φ = 17418240.

The previous prime is 53898043. The next prime is 53898059. The reversal of 53898048 is 84089835.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 10969344 = 6552^2 + 3312^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53897994 and 53898012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53898043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191668 + ... + 191948.

Almost surely, 253898048 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 53898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82336386).

53898048 is an abundant number, since it is smaller than the sum of its proper divisors (110774724).

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

53898048 is a wasteful number, since it uses less digits than its factorization.

53898048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 53898048 is about 7341.5289960607. The cubic root of 53898048 is about 377.7382920156.

The spelling of 53898048 in words is "fifty-three million, eight hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 281 288 296 324 333 432 444 562 576 592 648 666 843 864 888 999 1124 1184 1296 1332 1686 1728 1776 1998 2248 2368 2529 2592 2664 2997 3372 3552 3996 4496 5058 5184 5328 5994 6744 7104 7587 7992 8992 10116 10397 10656 11988 13488 15174 15984 17984 20232 20794 21312 22761 23976 26976 30348 31191 31968 40464 41588 45522 47952 53952 60696 62382 63936 80928 83176 91044 93573 95904 121392 124764 161856 166352 182088 187146 191808 242784 249528 280719 332704 364176 374292 485568 499056 561438 665408 728352 748584 842157 998112 1122876 1456704 1497168 1684314 1996224 2245752 2994336 3368628 4491504 5988672 6737256 8983008 13474512 17966016 26949024 53898048