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53039232 = 2733103149
BaseRepresentation
bin1100101001010…
…1000010000000
310200210200011000
43022111002000
5102034223412
65132452000
71212553221
oct312250200
9120720130
1053039232
1127a37184
121591a000
13acb087c
147089248
1549ca4dc
hex3295080

53039232 has 128 divisors (see below), whose sum is σ = 159120000. Its totient is φ = 17390592.

The previous prime is 53039227. The next prime is 53039243. The reversal of 53039232 is 23293035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×530392322 = 5626320262299648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53039196 and 53039205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355894 + ... + 356042.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 253039232 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 53039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560000).

53039232 is an abundant number, since it is smaller than the sum of its proper divisors (106080768).

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

53039232 is a wasteful number, since it uses less digits than its factorization.

53039232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 53039232 is about 7282.8038556589. The cubic root of 53039232 is about 375.7212359605.

It can be divided in two parts, 5303 and 9232, that added together give a triangular number (14535 = T170).

The spelling of 53039232 in words is "fifty-three million, thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 149 192 206 216 288 298 309 384 412 432 447 576 596 618 824 864 894 927 1152 1192 1236 1341 1648 1728 1788 1854 2384 2472 2682 2781 3296 3456 3576 3708 4023 4768 4944 5364 5562 6592 7152 7416 8046 9536 9888 10728 11124 13184 14304 14832 15347 16092 19072 19776 21456 22248 28608 29664 30694 32184 39552 42912 44496 46041 57216 59328 61388 64368 85824 88992 92082 118656 122776 128736 138123 171648 177984 184164 245552 257472 276246 355968 368328 414369 491104 514944 552492 736656 828738 982208 1104984 1473312 1657476 1964416 2209968 2946624 3314952 4419936 5893248 6629904 8839872 13259808 17679744 26519616 53039232