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3962885742 = 2331717324953
BaseRepresentation
bin1110110000110100…
…1101011001101110
3101020011212110021000
43230031031121232
531103444320432
61453122221130
7200126654514
oct35415153156
911204773230
103962885742
111753a44792
129271b47a6
134b202850a
142984524b4
15182d9357c
hexec34d66e

3962885742 has 64 divisors (see below), whose sum is σ = 9378711360. Its totient is φ = 1236022272.

The previous prime is 3962885741. The next prime is 3962885747. The reversal of 3962885742 is 2475882693.

3962885742 is a `hidden beast` number, since 3 + 9 + 62 + 8 + 8 + 574 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962885741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146338 + ... + 171290.

It is an arithmetic number, because the mean of its divisors is an integer number (146542365).

Almost surely, 23962885742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962885742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689355680).

3962885742 is an abundant number, since it is smaller than the sum of its proper divisors (5415825618).

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

3962885742 is a wasteful number, since it uses less digits than its factorization.

3962885742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25154 (or 25148 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3962885742 is about 62951.4554398864. The cubic root of 3962885742 is about 1582.4761875081.

The spelling of 3962885742 in words is "three billion, nine hundred sixty-two million, eight hundred eighty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 173 306 346 459 519 918 1038 1557 2941 3114 4671 5882 8823 9342 17646 24953 26469 49906 52938 74859 79407 149718 158814 224577 424201 449154 673731 848402 1272603 1347462 2545206 3817809 4316869 7635618 8633738 11453427 12950607 22906854 25901214 38851821 73386773 77703642 116555463 146773546 220160319 233110926 440320638 660480957 1320961914 1981442871 3962885742