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3872003472 = 24343797883
BaseRepresentation
bin1110011011001010…
…0001010110010000
3100222211212011020000
43212302201112100
530412213102342
61440114250000
7164644325601
oct34662412620
910884764200
103872003472
111707710577
12900886900
13499257b1c
1428a355da8
15179de044c
hexe6ca1590

3872003472 has 100 divisors (see below), whose sum is σ = 11237695920. Its totient is φ = 1287099072.

The previous prime is 3872003467. The next prime is 3872003477. The reversal of 3872003472 is 2743002783.

3872003472 is a `hidden beast` number, since 387 + 200 + 3 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3872003467) and next prime (3872003477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3872003477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 487243 + ... + 495125.

Almost surely, 23872003472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618847960).

3872003472 is an abundant number, since it is smaller than the sum of its proper divisors (7365692448).

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

3872003472 is a wasteful number, since it uses less digits than its factorization.

3872003472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3872003472 is about 62225.4246429866. The cubic root of 3872003472 is about 1570.2853514629.

The spelling of 3872003472 in words is "three billion, eight hundred seventy-two million, three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 379 432 648 758 1137 1296 1516 2274 3032 3411 4548 6064 6822 7883 9096 10233 13644 15766 18192 20466 23649 27288 30699 31532 40932 47298 54576 61398 63064 70947 81864 94596 122796 126128 141894 163728 189192 212841 245592 283788 378384 425682 491184 567576 638523 851364 1135152 1277046 1702728 2554092 2987657 3405456 5108184 5975314 8962971 10216368 11950628 17925942 23901256 26888913 35851884 47802512 53777826 71703768 80666739 107555652 143407536 161333478 215111304 242000217 322666956 430222608 484000434 645333912 968000868 1290667824 1936001736 3872003472