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53050464 = 253497211
BaseRepresentation
bin1100101001011…
…1110001100000
310200211020120000
43022113301200
5102040103324
65133020000
71212631035
oct312276140
9120736500
1053050464
1127a44665
1215924600
13acb5a0c
14708d38c
1549cd9c9
hex3297c60

53050464 has 120 divisors (see below), whose sum is σ = 158375448. Its totient is φ = 17418240.

The previous prime is 53050463. The next prime is 53050471. The reversal of 53050464 is 46405035.

It is a super-3 number, since 3×530504643 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53050463) 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, 251319 + ... + 251529.

Almost surely, 253050464 is an apocalyptic number.

53050464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79187724).

53050464 is an abundant number, since it is smaller than the sum of its proper divisors (105324984).

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

53050464 is a wasteful number, since it uses less digits than its factorization.

53050464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53050464 is about 7283.5749464120. The cubic root of 53050464 is about 375.7477559716.

Adding to 53050464 its reverse (46405035), we get a palindrome (99455499).

The spelling of 53050464 in words is "fifty-three million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 108 144 162 194 211 216 288 291 324 388 422 432 582 633 648 776 844 864 873 1164 1266 1296 1552 1688 1746 1899 2328 2532 2592 2619 3104 3376 3492 3798 4656 5064 5238 5697 6752 6984 7596 7857 9312 10128 10476 11394 13968 15192 15714 17091 20256 20467 20952 22788 27936 30384 31428 34182 40934 41904 45576 60768 61401 62856 68364 81868 83808 91152 122802 125712 136728 163736 182304 184203 245604 251424 273456 327472 368406 491208 546912 552609 654944 736812 982416 1105218 1473624 1657827 1964832 2210436 2947248 3315654 4420872 5894496 6631308 8841744 13262616 17683488 26525232 53050464