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53685504 = 2835863
BaseRepresentation
bin1100110011001…
…0110100000000
310202000111200000
43030302310000
5102220414004
65154400000
71221214335
oct314626400
9122014600
1053685504
1128338794
1215b90000
13b178a92
1471b698c
154aa6c39
hex3332d00

53685504 has 108 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 17874432.

The previous prime is 53685491. The next prime is 53685529. The reversal of 53685504 is 40558635.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61777 + ... + 62639.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 253685504 is an apocalyptic number.

53685504 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 53685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

53685504 is an abundant number, since it is smaller than the sum of its proper divisors (107021952).

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

53685504 is an frugal number, since it uses more digits than its factorization.

53685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 53685504 is about 7327.0392383281. The cubic root of 53685504 is about 377.2411078142.

The spelling of 53685504 in words is "fifty-three million, six hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 863 864 972 1152 1296 1726 1728 1944 2304 2589 2592 3452 3456 3888 5178 5184 6904 6912 7767 7776 10356 10368 13808 15534 15552 20712 20736 23301 27616 31068 31104 41424 46602 55232 62136 62208 69903 82848 93204 110464 124272 139806 165696 186408 209709 220928 248544 279612 331392 372816 419418 497088 559224 662784 745632 838836 994176 1118448 1491264 1677672 1988352 2236896 2982528 3355344 4473792 5965056 6710688 8947584 13421376 17895168 26842752 53685504