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53481792 = 2637133061
BaseRepresentation
bin1100110000000…
…1000101000000
310201122011020010
43030001011000
5102142404132
65150144520
71216405410
oct314010500
9121564203
1053481792
1128209731
1215ab2140
13b107140
147162640
154a666cc
hex3301140

53481792 has 112 divisors (see below), whose sum is σ = 174215552. Its totient is φ = 14100480.

The previous prime is 53481781. The next prime is 53481803. The reversal of 53481792 is 29718435.

It is an interprime number because it is at equal distance from previous prime (53481781) and next prime (53481803).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 53481792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15942 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (1555496).

Almost surely, 253481792 is an apocalyptic number.

53481792 is a gapful number since it is divisible by the number (52) 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 53481792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87107776).

53481792 is an abundant number, since it is smaller than the sum of its proper divisors (120733760).

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

53481792 is a wasteful number, since it uses less digits than its factorization.

53481792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3086 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 53481792 is about 7313.1246399880. The cubic root of 53481792 is about 376.7633503690.

It can be divided in two parts, 5348 and 1792, that added together give a triangular number (7140 = T119).

The spelling of 53481792 in words is "fifty-three million, four hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3061 4368 5824 6122 8736 9183 12244 17472 18366 21427 24488 36732 39793 42854 48976 64281 73464 79586 85708 97952 119379 128562 146928 159172 171416 195904 238758 257124 278551 293856 318344 342832 477516 514248 557102 587712 636688 685664 835653 955032 1028496 1114204 1273376 1371328 1671306 1910064 2056992 2228408 2546752 3342612 3820128 4113984 4456816 6685224 7640256 8913632 13370448 17827264 26740896 53481792