Search a number
-
+
4040667372 = 22371739791
BaseRepresentation
bin1111000011010111…
…1011000011101100
3101102121020011121010
43300311323003230
531233402323442
61504541305220
7202063051230
oct36065730354
911377204533
104040667372
111793940225
12949265210
134c518cc51
142a48dc5c0
15189b09b9c
hexf0d7b0ec

4040667372 has 96 divisors (see below), whose sum is σ = 11449589760. Its totient is φ = 1086455040.

The previous prime is 4040667361. The next prime is 4040667461. The reversal of 4040667372 is 2737660404.

It is a super-2 number, since 2×40406673722 = 32653985622290772768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4040667372.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407797 + ... + 417587.

It is an arithmetic number, because the mean of its divisors is an integer number (119266560).

Almost surely, 24040667372 is an apocalyptic number.

4040667372 is a gapful number since it is divisible by the number (42) 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 4040667372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724794880).

4040667372 is an abundant number, since it is smaller than the sum of its proper divisors (7408922388).

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

4040667372 is a wasteful number, since it uses less digits than its factorization.

4040667372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 4040667372 is about 63566.2439664324. The cubic root of 4040667372 is about 1592.7625420936.

The spelling of 4040667372 in words is "four billion, forty million, six hundred sixty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 4913 6069 8092 9791 9826 12138 14739 19582 19652 24276 29373 29478 34391 39164 58746 58956 68537 68782 103173 117492 137074 137564 166447 205611 206346 274148 332894 411222 412692 499341 665788 822444 998682 1165129 1997364 2330258 2829599 3495387 4660516 5659198 6990774 8488797 11318396 13981548 16977594 19807193 33955188 39614386 48103183 59421579 79228772 96206366 118843158 144309549 192412732 237686316 288619098 336722281 577238196 673444562 1010166843 1346889124 2020333686 4040667372