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993420252 = 2232113767801
BaseRepresentation
bin111011001101100…
…110001111011100
32120020021222101200
4323031212033130
54013303422002
6242324235500
733421634646
oct7315461734
92506258350
10993420252
1146a83a380
1223883bb90
1312aa75346
1495d17896
155c331b1c
hex3b3663dc

993420252 has 72 divisors (see below), whose sum is σ = 2813511792. Its totient is φ = 292896000.

The previous prime is 993420251. The next prime is 993420299. The reversal of 993420252 is 252024399.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993420251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19249 + ... + 48552.

Almost surely, 2993420252 is an apocalyptic number.

It is an amenable number.

993420252 is an abundant number, since it is smaller than the sum of its proper divisors (1820091540).

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

993420252 is a wasteful number, since it uses less digits than its factorization.

993420252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67859 (or 67854 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 993420252 is about 31518.5699548695. The cubic root of 993420252 is about 997.8019226627.

The spelling of 993420252 in words is "nine hundred ninety-three million, four hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 67801 135602 203403 271204 406806 610209 745811 813612 1220418 1491622 2237433 2440836 2508637 2983244 4474866 5017274 6712299 7525911 8949732 10034548 13424598 15051822 22577733 26849196 27595007 30103644 45155466 55190014 82785021 90310932 110380028 165570042 248355063 331140084 496710126 993420252