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5629277040 = 2435412712111
BaseRepresentation
bin1010011111000011…
…11111001101110000
3112112022110220101020
411033201333031300
543012043331130
62330330535440
7256333031262
oct51741771560
915468426336
105629277040
112429642182
121111297580
136b933837a
143b58a9b32
1522e308e10
hex14f87f370

5629277040 has 160 divisors (see below), whose sum is σ = 17950851072. Its totient is φ = 1458432000.

The previous prime is 5629277039. The next prime is 5629277047. The reversal of 5629277040 is 407729265.

It is a junction number, because it is equal to n+sod(n) for n = 5629276983 and 5629277001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629277047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2665585 + ... + 2667695.

Almost surely, 25629277040 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 5629277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975425536).

5629277040 is an abundant number, since it is smaller than the sum of its proper divisors (12321574032).

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

5629277040 is a wasteful number, since it uses less digits than its factorization.

5629277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 5629277040 is about 75028.5081818904. The cubic root of 5629277040 is about 1778.8972928606.

The spelling of 5629277040 in words is "five billion, six hundred twenty-nine million, two hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 271 328 410 492 542 615 656 813 820 984 1084 1230 1355 1626 1640 1968 2111 2168 2460 2710 3252 3280 4065 4222 4336 4920 5420 6333 6504 8130 8444 9840 10555 10840 11111 12666 13008 16260 16888 21110 21680 22222 25332 31665 32520 33333 33776 42220 44444 50664 55555 63330 65040 66666 84440 86551 88888 101328 111110 126660 133332 166665 168880 173102 177776 222220 253320 259653 266664 333330 346204 432755 444440 506640 519306 533328 572081 666660 692408 865510 888880 1038612 1144162 1298265 1333320 1384816 1716243 1731020 2077224 2288324 2596530 2666640 2860405 3432486 3462040 4154448 4576648 5193060 5720810 6864972 6924080 8581215 9153296 10386120 11441620 13729944 17162430 20772240 22883240 23455321 27459888 34324860 45766480 46910642 68649720 70365963 93821284 117276605 137299440 140731926 187642568 234553210 281463852 351829815 375285136 469106420 562927704 703659630 938212840 1125855408 1407319260 1876425680 2814638520 5629277040