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1417378272 = 25314764357
BaseRepresentation
bin101010001111011…
…0111100111100000
310122210001021110120
41110132313213200
510400322101042
6352351200240
750060342112
oct12436674740
93583037416
101417378272
11668089302
12336816080
1319785478b
14d63573b2
1584678dec
hex547b79e0

1417378272 has 24 divisors (see below), whose sum is σ = 3720618216. Its totient is φ = 472459392.

The previous prime is 1417378271. The next prime is 1417378309. The reversal of 1417378272 is 2728737141.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×14173782722 = 4017922331875411968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417378271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7382083 + ... + 7382274.

It is an arithmetic number, because the mean of its divisors is an integer number (155025759).

Almost surely, 21417378272 is an apocalyptic number.

1417378272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1417378272 is an abundant number, since it is smaller than the sum of its proper divisors (2303239944).

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

1417378272 is a wasteful number, since it uses less digits than its factorization.

1417378272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14764370 (or 14764362 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 1417378272 is about 37648.0845727907. The cubic root of 1417378272 is about 1123.2987017669.

The spelling of 1417378272 in words is "one billion, four hundred seventeen million, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14764357 29528714 44293071 59057428 88586142 118114856 177172284 236229712 354344568 472459424 708689136 1417378272