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1424918400 = 27352148429
BaseRepresentation
bin101010011101110…
…1000011110000000
310200022020100120120
41110323220132000
510404234342100
6353220540240
750211415023
oct12473503600
93608210516
101424918400
11671369314
12339251680
131992947a9
14d735b1ba
15851680a0
hex54ee8780

1424918400 has 96 divisors (see below), whose sum is σ = 4693356600. Its totient is φ = 379975680.

The previous prime is 1424918399. The next prime is 1424918401. The reversal of 1424918400 is 48194241.

It is an interprime number because it is at equal distance from previous prime (1424918399) and next prime (1424918401).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424918401) 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, 64615 + ... + 83814.

Almost surely, 21424918400 is an apocalyptic number.

1424918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424918400 is an abundant number, since it is smaller than the sum of its proper divisors (3268438200).

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

1424918400 is a wasteful number, since it uses less digits than its factorization.

1424918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148456 (or 148439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1424918400 is about 37748.0913424772. The cubic root of 1424918400 is about 1125.2870773547.

The spelling of 1424918400 in words is "one billion, four hundred twenty-four million, nine hundred eighteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 148429 296858 445287 593716 742145 890574 1187432 1484290 1781148 2226435 2374864 2968580 3562296 3710725 4452870 4749728 5937160 7124592 7421450 8905740 9499456 11132175 11874320 14249184 14842900 17811480 18998912 22264350 23748640 28498368 29685800 35622960 44528700 47497280 56996736 59371600 71245920 89057400 94994560 118743200 142491840 178114800 237486400 284983680 356229600 474972800 712459200 1424918400