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53980672 = 291931179
BaseRepresentation
bin1100110111101…
…0111000000000
310202120111120011
43031322320000
5102304340142
65204554304
71223554024
oct315727000
9122514504
1053980672
112851a529
12160b2994
13b250235
147252384
154b14417
hex337ae00

53980672 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 24606720.

The previous prime is 53980651. The next prime is 53980673. The reversal of 53980672 is 27608935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53980673) 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, 301479 + ... + 301657.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 253980672 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 53980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

53980672 is an abundant number, since it is smaller than the sum of its proper divisors (63868928).

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

53980672 is a wasteful number, since it uses less digits than its factorization.

53980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 53980672 is about 7347.1540068247. The cubic root of 53980672 is about 377.9312137462.

The spelling of 53980672 in words is "fifty-three million, nine hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 179 248 256 304 358 496 512 589 608 716 992 1178 1216 1432 1984 2356 2432 2864 3401 3968 4712 4864 5549 5728 6802 7936 9424 9728 11098 11456 13604 15872 18848 22196 22912 27208 37696 44392 45824 54416 75392 88784 91648 105431 108832 150784 177568 210862 217664 301568 355136 421724 435328 710272 843448 870656 1420544 1686896 1741312 2841088 3373792 6747584 13495168 26990336 53980672