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1238992992 = 253216326393
BaseRepresentation
bin100100111011001…
…1000100001100000
310012100101100212100
41021312120201200
510014140233432
6322535530400
742463160316
oct11166304140
93170340770
101238992992
11586419856
122a6b29a00
131698c7863
14ba7a00b6
1573b8e07c
hex49d98860

1238992992 has 72 divisors (see below), whose sum is σ = 3545136504. Its totient is φ = 410448384.

The previous prime is 1238992973. The next prime is 1238993017. The reversal of 1238992992 is 2992998321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12389929922 = 3070207268450224128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33748 + ... + 60140.

It is an arithmetic number, because the mean of its divisors is an integer number (49238007).

Almost surely, 21238992992 is an apocalyptic number.

1238992992 is a gapful number since it is divisible by the number (12) 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 1238992992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772568252).

1238992992 is an abundant number, since it is smaller than the sum of its proper divisors (2306143512).

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

1238992992 is a wasteful number, since it uses less digits than its factorization.

1238992992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26572 (or 26561 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 1238992992 is about 35199.3322663939. The cubic root of 1238992992 is about 1074.0461680267.

The spelling of 1238992992 in words is "one billion, two hundred thirty-eight million, nine hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 26393 46944 52786 79179 105572 158358 211144 237537 316716 422288 475074 633432 844576 950148 1266864 1900296 2533728 3800592 4302059 7601184 8604118 12906177 17208236 25812354 34416472 38718531 51624708 68832944 77437062 103249416 137665888 154874124 206498832 309748248 412997664 619496496 1238992992