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413240152 = 23132537379
BaseRepresentation
bin11000101000011…
…000101101011000
31001210120202220211
4120220120231120
51321242141102
6105001100504
713145324533
oct3050305530
91053522824
10413240152
111a2299496
12b6487734
13677c8c00
143cc4da1a
152642b7d7
hex18a18b58

413240152 has 96 divisors (see below), whose sum is σ = 877521600. Its totient is φ = 182227968.

The previous prime is 413240119. The next prime is 413240173. The reversal of 413240152 is 251042314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5230849 + ... + 5230927.

It is an arithmetic number, because the mean of its divisors is an integer number (9140850).

Almost surely, 2413240152 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 413240152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438760800).

413240152 is an abundant number, since it is smaller than the sum of its proper divisors (464281448).

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

413240152 is a wasteful number, since it uses less digits than its factorization.

413240152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 413240152 is about 20328.3091279132. The cubic root of 413240152 is about 744.8477397049.

Adding to 413240152 its reverse (251042314), we get a palindrome (664282466).

The spelling of 413240152 in words is "four hundred thirteen million, two hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 53 73 79 104 106 146 158 169 212 292 316 338 424 584 632 676 689 949 1027 1352 1378 1898 2054 2756 3796 3869 4108 4187 5512 5767 7592 7738 8216 8374 8957 11534 12337 13351 15476 16748 17914 23068 24674 26702 30952 33496 35828 46136 49348 50297 53404 54431 71656 74971 98696 100594 106808 108862 149942 201188 217724 299884 305651 402376 435448 599768 611302 653861 707603 974623 1222604 1307722 1415206 1949246 2445208 2615444 2830412 3898492 3973463 5230888 5660824 7796984 7946926 15893852 31787704 51655019 103310038 206620076 413240152