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4010400992 = 251337260551
BaseRepresentation
bin1110111100001001…
…1101110011100000
3101100111021110221002
43233002131303200
531203130312432
61501540451132
7201244563113
oct35702356340
911314243832
104010400992
111778848694
1293b0a9aa8
134bbb23950
142a08a057a
1518712be62
hexef09dce0

4010400992 has 48 divisors (see below), whose sum is σ = 8732660832. Its totient is φ = 1800921600.

The previous prime is 4010400983. The next prime is 4010401001. The reversal of 4010400992 is 2990040104.

It is an interprime number because it is at equal distance from previous prime (4010400983) and next prime (4010401001).

It is a super-2 number, since 2×40104009922 = 32166632233269168128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114884 + ... + 145667.

It is an arithmetic number, because the mean of its divisors is an integer number (181930434).

Almost surely, 24010400992 is an apocalyptic number.

It is an amenable number.

4010400992 is an abundant number, since it is smaller than the sum of its proper divisors (4722259840).

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

4010400992 is a wasteful number, since it uses less digits than its factorization.

4010400992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260611 (or 260603 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 4010400992 is about 63327.7268816748. The cubic root of 4010400992 is about 1588.7757399494.

The spelling of 4010400992 in words is "four billion, ten million, four hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 260551 521102 1042204 2084408 3387163 4168816 6774326 8337632 9640387 13548652 19280774 27097304 38561548 54194608 77123096 108389216 125325031 154246192 250650062 308492384 501300124 1002600248 2005200496 4010400992