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1941244896 = 253192346273
BaseRepresentation
bin111001110110101…
…0000101111100000
312000021210110101010
41303231100233200
512433424314041
6520343340520
766051211053
oct16355205740
95007713333
101941244896
11906867028
12462151740
1324c244c26
14145b62a9a
15b5658a16
hex73b50be0

1941244896 has 96 divisors (see below), whose sum is σ = 5597303040. Its totient is φ = 586358784.

The previous prime is 1941244889. The next prime is 1941244897. The reversal of 1941244896 is 6984421491.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941244897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18816 + ... + 65088.

It is an arithmetic number, because the mean of its divisors is an integer number (58305240).

Almost surely, 21941244896 is an apocalyptic number.

1941244896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1941244896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798651520).

1941244896 is an abundant number, since it is smaller than the sum of its proper divisors (3656058144).

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

1941244896 is a wasteful number, since it uses less digits than its factorization.

1941244896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46328 (or 46320 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 1941244896 is about 44059.5607785643. The cubic root of 1941244896 is about 1247.4604217413.

The spelling of 1941244896 in words is "one billion, nine hundred forty-one million, two hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 46273 92546 138819 185092 277638 370184 555276 740368 879187 1064279 1110552 1480736 1758374 2128558 2221104 2637561 3192837 3516748 4257116 4442208 5275122 6385674 7033496 8514232 10550244 12771348 14066992 17028464 20221301 21100488 25542696 28133984 34056928 40442602 42200976 51085392 60663903 80885204 84401952 102170784 121327806 161770408 242655612 323540816 485311224 647081632 970622448 1941244896