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3052413540 = 22325117121713
BaseRepresentation
bin1011010111110000…
…0010001001100100
321212201122200012100
42311330002021210
522222404213130
61222515452100
7135433041561
oct26574021144
97781580170
103052413540
11132700a520
127122b7030
13398506377
1420d56b868
1512ce98c60
hexb5f02264

3052413540 has 144 divisors (see below), whose sum is σ = 10243449216. Its totient is φ = 729523200.

The previous prime is 3052413521. The next prime is 3052413547. The reversal of 3052413540 is 453142503.

3052413540 is a `hidden beast` number, since 3 + 0 + 524 + 135 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3052413547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129724 + ... + 151436.

It is an arithmetic number, because the mean of its divisors is an integer number (71135064).

Almost surely, 23052413540 is an apocalyptic number.

3052413540 is a gapful number since it is divisible by the number (30) 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 3052413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121724608).

3052413540 is an abundant number, since it is smaller than the sum of its proper divisors (7191035676).

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

3052413540 is a wasteful number, since it uses less digits than its factorization.

3052413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21810 (or 21805 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3052413540 is about 55248.6519292553. The cubic root of 3052413540 is about 1450.6003918727.

The spelling of 3052413540 in words is "three billion, fifty-two million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1980 2130 2343 2556 3124 3195 3905 4260 4686 6390 7029 7810 9372 11715 12780 14058 15620 21713 23430 28116 35145 43426 46860 65139 70290 86852 108565 130278 140580 195417 217130 238843 260556 325695 390834 434260 477686 651390 716529 781668 955372 977085 1194215 1302780 1433058 1541623 1954170 2149587 2388430 2866116 3083246 3582645 3908340 4299174 4624869 4776860 6166492 7165290 7708115 8598348 9249738 10747935 13874607 14330580 15416230 16957853 18499476 21495870 23124345 27749214 30832460 33915706 42991740 46248690 50873559 55498428 67831412 69373035 84789265 92497380 101747118 138746070 152620677 169578530 203494236 254367795 277492140 305241354 339157060 508735590 610482708 763103385 1017471180 1526206770 3052413540