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3877077372 = 2237231227937
BaseRepresentation
bin1110011100010111…
…1000000101111100
3101000012101221022020
43213011320011330
530420012433442
61440415120140
7165035420400
oct34705700574
911005357266
103877077372
11170a566683
12902513050
1349a31342c
1428acb7100
1517a5939ec
hexe717817c

3877077372 has 144 divisors (see below), whose sum is σ = 10922462208. Its totient is φ = 1066141440.

The previous prime is 3877077371. The next prime is 3877077389. The reversal of 3877077372 is 2737707783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877077371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4137288 + ... + 4138224.

It is an arithmetic number, because the mean of its divisors is an integer number (75850432).

Almost surely, 23877077372 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 3877077372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461231104).

3877077372 is an abundant number, since it is smaller than the sum of its proper divisors (7045384836).

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

3877077372 is a wasteful number, since it uses less digits than its factorization.

3877077372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2420208, while the sum is 51.

The square root of 3877077372 is about 62266.1816076753. The cubic root of 3877077372 is about 1570.9709563205.

The spelling of 3877077372 in words is "three billion, eight hundred seventy-seven million, seventy-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 227 294 372 434 454 588 651 681 868 908 937 1302 1362 1519 1589 1874 2604 2724 2811 3038 3178 3748 4557 4767 5622 6076 6356 6559 7037 9114 9534 11123 11244 13118 14074 18228 19068 19677 21111 22246 26236 28148 29047 33369 39354 42222 44492 45913 49259 58094 66738 78708 84444 87141 91826 98518 116188 133476 137739 147777 174282 183652 197036 203329 212699 275478 295554 344813 348564 406658 425398 550956 591108 609987 638097 689626 813316 850796 1034439 1219974 1276194 1379252 1423303 1488893 2068878 2439948 2552388 2846606 2977786 4137756 4269909 4466679 5693212 5955572 6593669 8539818 8933358 10422251 13187338 17079636 17866716 19781007 20844502 26374676 31266753 39562014 41689004 46155683 62533506 79124028 92311366 125067012 138467049 184622732 276934098 323089781 553868196 646179562 969269343 1292359124 1938538686 3877077372