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153842031 = 3371942841
BaseRepresentation
bin10010010101101…
…11000101101111
3101201110222121000
421022313011233
5303340421111
623133211343
73545431020
oct1112670557
9351428530
10153842031
1179926882
1243630b53
1325b458b5
1416608c47
15d78cc56
hex92b716f

153842031 has 32 divisors (see below), whose sum is σ = 274188800. Its totient is φ = 83280960.

The previous prime is 153842021. The next prime is 153842063. The reversal of 153842031 is 130248351.

It is a happy number.

It is not a de Polignac number, because 153842031 - 213 = 153833839 is a prime.

It is a super-2 number, since 2×1538420312 = 47334741004409922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153841986 and 153842004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153842011) 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, 17830 + ... + 25011.

It is an arithmetic number, because the mean of its divisors is an integer number (8568400).

Almost surely, 2153842031 is an apocalyptic number.

153842031 is a deficient number, since it is larger than the sum of its proper divisors (120346769).

153842031 is a wasteful number, since it uses less digits than its factorization.

153842031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42876 (or 42870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153842031 is about 12403.3072605656. The cubic root of 153842031 is about 535.8275032938.

The spelling of 153842031 in words is "one hundred fifty-three million, eight hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 42841 128523 299887 385569 813979 899661 1156707 2441937 2698983 5697853 7325811 8096949 17093559 21977433 51280677 153842031