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4001074480 = 2451323167269
BaseRepresentation
bin1110111001111011…
…1000110100110000
3101022211201122100201
43232132320310300
531143233340410
61501004524544
7201102400114
oct35636706460
911284648321
104001074480
111773558527
12937b50754
134b9c097c0
1429d553744
151863d883a
hexee7b8d30

4001074480 has 80 divisors (see below), whose sum is σ = 10453705920. Its totient is φ = 1413080064.

The previous prime is 4001074417. The next prime is 4001074537. The reversal of 4001074480 is 844701004.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59715 + ... + 107554.

It is an arithmetic number, because the mean of its divisors is an integer number (130671324).

Almost surely, 24001074480 is an apocalyptic number.

4001074480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001074480 is an abundant number, since it is smaller than the sum of its proper divisors (6452631440).

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

4001074480 is a wasteful number, since it uses less digits than its factorization.

4001074480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167318 (or 167312 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4001074480 is about 63254.0471432461. The cubic root of 4001074480 is about 1587.5431751334.

Adding to 4001074480 its reverse (844701004), we get a palindrome (4845775484).

The spelling of 4001074480 in words is "four billion, one million, seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 167269 334538 669076 836345 1338152 1672690 2174497 2676304 3345380 3847187 4348994 6690760 7694374 8697988 10872485 13381520 15388748 17395976 19235935 21744970 30777496 34791952 38471870 43489940 50013431 61554992 76943740 86979880 100026862 153887480 173959760 200053724 250067155 307774960 400107448 500134310 800214896 1000268620 2000537240 4001074480