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990462800 = 245223199541
BaseRepresentation
bin111011000010010…
…100001101010000
32120000201201112102
4323002110031100
54012024302200
6242141015532
733354536435
oct7302241520
92500651472
10990462800
114690aa3a8
122378545a8
1312a27b182
1495787b8c
155be4a6d5
hex3b094350

990462800 has 120 divisors (see below), whose sum is σ = 2500137600. Its totient is φ = 376358400.

The previous prime is 990462793. The next prime is 990462841. The reversal of 990462800 is 8264099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1830530 + ... + 1831070.

It is an arithmetic number, because the mean of its divisors is an integer number (20834480).

Almost surely, 2990462800 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 990462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250068800).

990462800 is an abundant number, since it is smaller than the sum of its proper divisors (1509674800).

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

990462800 is a wasteful number, since it uses less digits than its factorization.

990462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 990462800 is about 31471.6189605810. The cubic root of 990462800 is about 996.8107729771.

The spelling of 990462800 in words is "nine hundred ninety million, four hundred sixty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 199 200 230 368 398 400 460 541 575 796 920 995 1082 1150 1592 1840 1990 2164 2300 2705 3184 3980 4328 4577 4600 4975 5410 7960 8656 9154 9200 9950 10820 12443 13525 15920 18308 19900 21640 22885 24886 27050 36616 39800 43280 45770 49772 54100 62215 73232 79600 91540 99544 107659 108200 114425 124430 183080 199088 215318 216400 228850 248860 311075 366160 430636 457700 497720 538295 622150 861272 915400 995440 1076590 1244300 1722544 1830800 2153180 2476157 2488600 2691475 4306360 4952314 4977200 5382950 8612720 9904628 10765900 12380785 19809256 21531800 24761570 39618512 43063600 49523140 61903925 99046280 123807850 198092560 247615700 495231400 990462800