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53892096 = 210353331
BaseRepresentation
bin1100110110010…
…1010000000000
310202102000001120
43031211100000
5102244021341
65203032240
71223034546
oct315452000
9122360046
1053892096
1128469a25
121606b680
13b21bb1b
14722bd96
154ae8066
hex3365400

53892096 has 88 divisors (see below), whose sum is σ = 146794464. Its totient is φ = 17571840.

The previous prime is 53892077. The next prime is 53892103. The reversal of 53892096 is 69029835.

It is a super-2 number, since 2×538920962 = 5808716022546432, which contains 22 as substring.

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, 162651 + ... + 162981.

Almost surely, 253892096 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 53892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73397232).

53892096 is an abundant number, since it is smaller than the sum of its proper divisors (92902368).

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

53892096 is a wasteful number, since it uses less digits than its factorization.

53892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 53892096 is about 7341.1236197193. The cubic root of 53892096 is about 377.7243868671.

The spelling of 53892096 in words is "fifty-three million, eight hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 331 384 424 512 636 662 768 848 993 1024 1272 1324 1536 1696 1986 2544 2648 3072 3392 3972 5088 5296 6784 7944 10176 10592 13568 15888 17543 20352 21184 27136 31776 35086 40704 42368 52629 54272 63552 70172 81408 84736 105258 127104 140344 162816 169472 210516 254208 280688 338944 421032 508416 561376 842064 1016832 1122752 1684128 2245504 3368256 4491008 6736512 8982016 13473024 17964032 26946048 53892096