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415140152 = 23721815851
BaseRepresentation
bin11000101111101…
…000100100111000
31001221011022020012
4120233220210320
51322233441102
6105105521052
713200430100
oct3057504470
91057138205
10415140152
111a3376a39
12b7043188
136801297b
143d1c6200
15266a4752
hex18be8938

415140152 has 48 divisors (see below), whose sum is σ = 910629720. Its totient is φ = 176904000.

The previous prime is 415140113. The next prime is 415140157. The reversal of 415140152 is 251041514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415140157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68027 + ... + 73877.

Almost surely, 2415140152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415140152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455314860).

415140152 is an abundant number, since it is smaller than the sum of its proper divisors (495489568).

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

415140152 is a wasteful number, since it uses less digits than its factorization.

415140152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 415140152 is about 20374.9883926347. The cubic root of 415140152 is about 745.9875509139.

Adding to 415140152 its reverse (251041514), we get a palindrome (666181666).

The spelling of 415140152 in words is "four hundred fifteen million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 362 392 724 1267 1448 2534 5068 5851 8869 10136 11702 17738 23404 35476 40957 46808 70952 81914 163828 286699 327656 573398 1059031 1146796 2118062 2293592 4236124 7413217 8472248 14826434 29652868 51892519 59305736 103785038 207570076 415140152