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872970048 = 2634198863
BaseRepresentation
bin110100000010000…
…111011101000000
32020211122110210000
4310002013131000
53241440020143
6222342440000
730430060116
oct6402073500
92224573700
10872970048
11408850355
12204433000
1310bb21532
1483d21ab6
155198cbd3
hex34087740

872970048 has 140 divisors (see below), whose sum is σ = 2724261760. Its totient is φ = 275643648.

The previous prime is 872970031. The next prime is 872970053. The reversal of 872970048 is 840079278.

It is a junction number, because it is equal to n+sod(n) for n = 872969985 and 872970012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94065 + ... + 102927.

Almost surely, 2872970048 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 872970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362130880).

872970048 is an abundant number, since it is smaller than the sum of its proper divisors (1851291712).

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

872970048 is a wasteful number, since it uses less digits than its factorization.

872970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 872970048 is about 29546.0665402351. The cubic root of 872970048 is about 955.7253694316.

The spelling of 872970048 in words is "eight hundred seventy-two million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 8863 10944 12312 16416 17726 24624 26589 32832 35452 49248 53178 70904 79767 98496 106356 141808 159534 168397 212712 239301 283616 319068 336794 425424 478602 505191 567232 638136 673588 717903 850848 957204 1010382 1276272 1347176 1435806 1515573 1701696 1914408 2020764 2552544 2694352 2871612 3031146 3828816 4041528 4546719 5105088 5388704 5743224 6062292 7657632 8083056 9093438 10777408 11486448 12124584 13640157 15315264 16166112 18186876 22972896 24249168 27280314 32332224 36373752 45945792 48498336 54560628 72747504 96996672 109121256 145495008 218242512 290990016 436485024 872970048