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53476640 = 2557219359
BaseRepresentation
bin1100101111111…
…1110100100000
310201121220011022
43023333310200
5102142223030
65150105012
71216354400
oct313776440
9121556138
1053476640
1128205878
1215aab168
13b1049a9
147160800
154a64de5
hex32ffd20

53476640 has 144 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 17321472.

The previous prime is 53476639. The next prime is 53476681. The reversal of 53476640 is 4667435.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 53476640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148781 + ... + 149139.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 253476640 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 53476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

53476640 is an abundant number, since it is smaller than the sum of its proper divisors (101654560).

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

53476640 is a wasteful number, since it uses less digits than its factorization.

53476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 53476640 is about 7312.7723880892. The cubic root of 53476640 is about 376.7512518769.

The spelling of 53476640 in words is "fifty-three million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 359 380 392 490 532 560 608 665 718 760 784 931 980 1064 1120 1330 1436 1520 1568 1795 1862 1960 2128 2513 2660 2872 3040 3590 3724 3920 4256 4655 5026 5320 5744 6821 7180 7448 7840 9310 10052 10640 11488 12565 13642 14360 14896 17591 18620 20104 21280 25130 27284 28720 29792 34105 35182 37240 40208 47747 50260 54568 57440 68210 70364 74480 80416 87955 95494 100520 109136 136420 140728 148960 175910 190988 201040 218272 238735 272840 281456 334229 351820 381976 402080 477470 545680 562912 668458 703640 763952 954940 1091360 1336916 1407280 1527904 1671145 1909880 2673832 2814560 3342290 3819760 5347664 6684580 7639520 10695328 13369160 26738320 53476640