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997848240 = 243529307467
BaseRepresentation
bin111011011110011…
…111010010110000
32120112121221110020
4323132133102300
54020422120430
6243003203440
733504366354
oct7336372260
92515557406
10997848240
11472294174
1223a216580
1312b96595c
149674b464
155c908b10
hex3b79f4b0

997848240 has 160 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 255532032.

The previous prime is 997848217. The next prime is 997848253. The reversal of 997848240 is 42848799.

It is a super-2 number, since 2×9978482402 = 1991402220142195200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136487 + ... + 2136953.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2997848240 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 997848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

997848240 is an abundant number, since it is smaller than the sum of its proper divisors (2219445840).

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

997848240 is a wasteful number, since it uses less digits than its factorization.

997848240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 997848240 is about 31588.7359671133. The cubic root of 997848240 is about 999.2822315985.

The spelling of 997848240 in words is "nine hundred ninety-seven million, eight hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 307 348 435 464 467 580 614 696 870 921 934 1160 1228 1392 1401 1535 1740 1842 1868 2320 2335 2456 2802 3070 3480 3684 3736 4605 4670 4912 5604 6140 6960 7005 7368 7472 8903 9210 9340 11208 12280 13543 14010 14736 17806 18420 18680 22416 24560 26709 27086 28020 35612 36840 37360 40629 44515 53418 54172 56040 67715 71224 73680 81258 89030 106836 108344 112080 133545 135430 142448 143369 162516 178060 203145 213672 216688 267090 270860 286738 325032 356120 406290 427344 430107 534180 541720 573476 650064 712240 716845 812580 860214 1068360 1083440 1146952 1433690 1625160 1720428 2136720 2150535 2293904 2867380 3250320 3440856 4157701 4301070 5734760 6881712 8315402 8602140 11469520 12473103 16630804 17204280 20788505 24946206 33261608 34408560 41577010 49892412 62365515 66523216 83154020 99784824 124731030 166308040 199569648 249462060 332616080 498924120 997848240