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53557248 = 211323379
BaseRepresentation
bin1100110001001…
…1100000000000
310201202222201210
43030103200000
5102202312443
65151530120
71220141403
oct314234000
9121688653
1053557248
1128260398
1215b29940
13b1325a4
147181d3a
154a7dc33
hex3313800

53557248 has 96 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 17031168.

The previous prime is 53557247. The next prime is 53557249. The reversal of 53557248 is 84275535.

It is an interprime number because it is at equal distance from previous prime (53557247) and next prime (53557249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53557247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141123 + ... + 141501.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 253557248 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 53557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

53557248 is an abundant number, since it is smaller than the sum of its proper divisors (95828352).

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

53557248 is a wasteful number, since it uses less digits than its factorization.

53557248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 53557248 is about 7318.2817655513. The cubic root of 53557248 is about 376.9404554787.

The spelling of 53557248 in words is "fifty-three million, five hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 379 384 512 552 736 758 768 1024 1104 1137 1472 1516 1536 2048 2208 2274 2944 3032 3072 4416 4548 5888 6064 6144 8717 8832 9096 11776 12128 17434 17664 18192 23552 24256 26151 34868 35328 36384 47104 48512 52302 69736 70656 72768 97024 104604 139472 141312 145536 194048 209208 278944 291072 388096 418416 557888 582144 776192 836832 1115776 1164288 1673664 2231552 2328576 3347328 4463104 6694656 8926208 13389312 17852416 26778624 53557248