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402629940 = 22345248537
BaseRepresentation
bin10111111111111…
…010010100110100
31001001121201110000
4113333322110310
51311033124230
6103541431300
712656204136
oct2777722464
91031551400
10402629940
11197301919
12b2a0b530
136555268b
143b68b056
1525532b60
hex17ffa534

402629940 has 60 divisors (see below), whose sum is σ = 1263070116. Its totient is φ = 107367552.

The previous prime is 402629933. The next prime is 402629947. The reversal of 402629940 is 49926204.

It is an interprime number because it is at equal distance from previous prime (402629933) and next prime (402629947).

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 359936784 = 6534^2 + 18972^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4026299402 = 324221737168807200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402629895 and 402629904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402629947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122649 + ... + 125888.

Almost surely, 2402629940 is an apocalyptic number.

It is an amenable number.

402629940 is an abundant number, since it is smaller than the sum of its proper divisors (860440176).

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

402629940 is a wasteful number, since it uses less digits than its factorization.

402629940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248558 (or 248547 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 402629940 is about 20065.6407821928. The cubic root of 402629940 is about 738.4175705493.

The spelling of 402629940 in words is "four hundred two million, six hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 248537 497074 745611 994148 1242685 1491222 2236833 2485370 2982444 3728055 4473666 4970740 6710499 7456110 8947332 11184165 13420998 14912220 20131497 22368330 26841996 33552495 40262994 44736660 67104990 80525988 100657485 134209980 201314970 402629940