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4753071040 = 26544333529
BaseRepresentation
bin1000110110100111…
…00001101111000000
3110021020202000201011
410123103201233000
534213241233130
62103350450304
7225533302654
oct43323415700
913236660634
104753071040
112019a91693
12b07963994
135a9952c93
14331384a64
151cc42c52a
hex11b4e1bc0

4753071040 has 56 divisors (see below), whose sum is σ = 11344137840. Its totient is φ = 1896880128.

The previous prime is 4753071031. The next prime is 4753071061. The reversal of 4753071040 is 401703574.

It is a super-2 number, since 2×47530710402 = 45183368622573363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4753070993 and 4753071011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124996 + ... + 158524.

It is an arithmetic number, because the mean of its divisors is an integer number (202573890).

Almost surely, 24753071040 is an apocalyptic number.

4753071040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4753071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672068920).

4753071040 is an abundant number, since it is smaller than the sum of its proper divisors (6591066800).

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

4753071040 is a wasteful number, since it uses less digits than its factorization.

4753071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33989 (or 33979 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 4753071040 is about 68942.5198263017. The cubic root of 4753071040 is about 1681.3498976678.

The spelling of 4753071040 in words is "four billion, seven hundred fifty-three million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 443 886 1772 2215 3544 4430 7088 8860 14176 17720 28352 33529 35440 67058 70880 134116 141760 167645 268232 335290 536464 670580 1072928 1341160 2145856 2682320 5364640 10729280 14853347 29706694 59413388 74266735 118826776 148533470 237653552 297066940 475307104 594133880 950614208 1188267760 2376535520 4753071040