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53212416 = 283193359
BaseRepresentation
bin1100101011111…
…1010100000000
310201010110201020
43022333110000
5102110244131
65140305440
71214204145
oct312772400
9121113636
1053212416
1128045304
12159a2280
13b04164a
1470d23cc
154a11996
hex32bf500

53212416 has 72 divisors (see below), whose sum is σ = 142752960. Its totient is φ = 17596416.

The previous prime is 53212403. The next prime is 53212427. The reversal of 53212416 is 61421235.

It is a super-2 number, since 2×532124162 = 5663122433114112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148045 + ... + 148403.

It is an arithmetic number, because the mean of its divisors is an integer number (1982680).

Almost surely, 253212416 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 53212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71376480).

53212416 is an abundant number, since it is smaller than the sum of its proper divisors (89540544).

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

53212416 is a wasteful number, since it uses less digits than its factorization.

53212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 53212416 is about 7294.6840918576. The cubic root of 53212416 is about 376.1297273806.

It can be divided in two parts, 53212 and 416, that added together give a triangular number (53628 = T327).

The spelling of 53212416 in words is "fifty-three million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 359 384 386 579 718 768 772 1077 1158 1436 1544 2154 2316 2872 3088 4308 4632 5744 6176 8616 9264 11488 12352 17232 18528 22976 24704 34464 37056 45952 49408 68928 69287 74112 91904 137856 138574 148224 207861 275712 277148 415722 554296 831444 1108592 1662888 2217184 3325776 4434368 6651552 8868736 13303104 17737472 26606208 53212416