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53876040 = 2335676701
BaseRepresentation
bin1100110110000…
…1010101001000
310202101012000220
43031201111020
5102243013130
65202430040
71222640001
oct315412510
9122335026
1053876040
1128458959
1216062320
13b21471a
1472261a8
154ae3410
hex3361548

53876040 has 64 divisors (see below), whose sum is σ = 164064960. Its totient is φ = 14150400.

The previous prime is 53876023. The next prime is 53876041. The reversal of 53876040 is 4067835.

It is a junction number, because it is equal to n+sod(n) for n = 53875992 and 53876010.

It is not an unprimeable number, because it can be changed into a prime (53876041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4690 + ... + 11390.

It is an arithmetic number, because the mean of its divisors is an integer number (2563515).

Almost surely, 253876040 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 53876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82032480).

53876040 is an abundant number, since it is smaller than the sum of its proper divisors (110188920).

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

53876040 is a wasteful number, since it uses less digits than its factorization.

53876040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 53876040 is about 7340.0299726908. The cubic root of 53876040 is about 377.6868715009.

The spelling of 53876040 in words is "fifty-three million, eight hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 6701 8040 13402 20103 26804 33505 40206 53608 67010 80412 100515 134020 160824 201030 268040 402060 448967 804120 897934 1346901 1795868 2244835 2693802 3591736 4489670 5387604 6734505 8979340 10775208 13469010 17958680 26938020 53876040