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416478942 = 233111793917
BaseRepresentation
bin11000110100101…
…111011011011110
31002000200022201000
4120310233123132
51323104311232
6105154331130
713215004215
oct3064573336
91060608630
10416478942
111a4100880
12b7589aa6
1368391159
143d45407c
152686b27c
hex18d2f6de

416478942 has 64 divisors (see below), whose sum is σ = 1015545600. Its totient is φ = 125468640.

The previous prime is 416478899. The next prime is 416478949. The reversal of 416478942 is 249874614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416478949) 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, 104368 + ... + 108284.

It is an arithmetic number, because the mean of its divisors is an integer number (15867900).

Almost surely, 2416478942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416478942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507772800).

416478942 is an abundant number, since it is smaller than the sum of its proper divisors (599066658).

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

416478942 is a wasteful number, since it uses less digits than its factorization.

416478942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4112 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 416478942 is about 20407.8157086936. The cubic root of 416478942 is about 746.7886048814.

The spelling of 416478942 in words is "four hundred sixteen million, four hundred seventy-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 358 537 594 1074 1611 1969 3222 3917 3938 4833 5907 7834 9666 11751 11814 17721 23502 35253 35442 43087 53163 70506 86174 105759 106326 129261 211518 258522 387783 701143 775566 1163349 1402286 2103429 2326698 4206858 6310287 7712573 12620574 15425146 18930861 23137719 37861722 46275438 69413157 138826314 208239471 416478942